Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1...

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Fundamentals of Electric Circuit Analysis, by Clayton Paul Figure 6.1 Illustration of sinusoidal waveforms: ( a ) A sin ωt , ( b ) A cos ωt , ( c ) A sin( ωt + φ ), and ( d ) the relation between sin and cos: A sin ωt = A cos( ωt – 90°), A cos ωt = A sin( ωt + 90°).

Transcript of Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1...

Page 1: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ωt, (c) Asin(ωt + φ ), and (d ) the relation between sin and cos: A sin ωt = A cos(ωt – 90°), A cosωt = A sin(ωt + 90°).

Page 2: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.2A general periodic function: x(t) = x(t ± nT ).

Page 3: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.3Representing (a) aperiodic function(a square wave) as(b) the sum ofsinusoidalcomponents.

Page 4: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.4Representing aperiodic sourcewaveform as the sumof its sinusoidalcomponents so thatsuperposition can beused to determinethe response to thatperiodic waveform.

Page 5: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.5An example of a circuit that is driven by a sinusoidal source.

Page 6: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.6Representation of a complex number as a vector in two-dimensional space.

Page 7: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.7 Illustration of (a) the sum and (b) the difference of two complex numbersas the addition and subtraction of vectors.

Page 8: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.8 Representation of a complex exponential source as the connection of twosources (series for a voltage source and parallel for a current source) using Euler’s identity.

Page 9: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.9 The key to the phasor method: in order to determine the response to eithera sine or a cosine source, replace the source with the complex exponential source and usesuperposition.

Page 10: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.10 Solution of the circuit of Fig. 6.5 by replacing the original source withthe complex exponential source and using Euler’s identity and superposition.

Page 11: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.4Exercise Problem 6.4.

Page 12: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.11The phasor impedances for (a) the resistor, (b) the inductor, and (c) the capacitor.

Page 13: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.12 Illustration of converting (a) the time-domain circuit to (b) its phasor, orfrequency-domain, equivalent.

Page 14: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.13Example 6.4.

Page 15: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.6Exercise Problem 6.6.

Page 16: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.14Example 6.5.

Page 17: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.7Exercise Problem 6.7.

Page 18: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.15Example 6.6.

Page 19: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.8Exercise Problem 6.8.

Page 20: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.16Example 6.7.

Page 21: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.9Exercise Problem 6.9.

Page 22: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.17Example 6.8.

Page 23: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.10Exercise Problem 6.10.

Page 24: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.18Example 6.9.

Page 25: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.11Exercise Problem 6.11.

Page 26: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.19Example 6.10.

Page 27: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.12Exercise Problem 6.12.

Page 28: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.20Example 6.11.

Page 29: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.21Example 6.12.

Page 30: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.14Exercise Problem 6.14.

Page 31: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.15Exercise Problem 6.15.

Page 32: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.22Illustration of averagepower delivered to anelement: (a) the time-domain relation forthe element, (b) plotof the instantaneouspower, and (c) theaverage powerdelivered to anelement in terms of itsphasor voltage andphasor current.

Page 33: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.23Example 6.13.

Page 34: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.24Illustration of the power relations for a resistor.

Page 35: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.25Illustration of the power relations for an inductor.

Page 36: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.26Illustration of the power relations for a capacitor.

Page 37: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.27Example 6.14.

Page 38: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.17Exercise Problem 6.17.

Page 39: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.28Illustration of the concept of power factor.

Page 40: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.29Example 6.15.

Page 41: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.30Illustration of a power transmission line connecting a source to a load.

Page 42: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.31Illustration of thetypical source-loadconfiguration fordeterminingmaximum powertransfer.

Page 43: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.32Illustration of theprinciple ofsuperposition ofaverage powerfor sinusoidalsources ofdifferentfrequencies.

Page 44: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.33Example 6.18.

Page 45: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.20Exercise Problem 6.20.

Page 46: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.34Example 6.19.

Page 47: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.21Exercise Problem 6.21.

Page 48: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.35Application of a current source having a periodic waveform to a resistor.

Page 49: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.36Example 6.20.

Page 50: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.22Exercise Problem 6.22.

Page 51: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.37Use of rms voltages and currents in phasor circuits.

Page 52: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.38Example 6.21.

Page 53: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.39Interpreting a phasorquantity in the timedomain as theprojection of therotating phasor on thereal axis (for a cosine)or on the imaginaryaxis (for a sine).

Page 54: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.40An exampleillustrating thevisualization ofphasor voltages andcurrents in a phasordiagram: (a) thetime-domain circuit,(b) the phasor circuit,and (c) the phasordiagram.

Page 55: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.23Exercise Problem 6.23.

Page 56: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.41Element impedances for computing transfer functions where p = jω.

Page 57: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.42 Viewing a linear system or electric circuit in block diagram form:(a) time domain, and (b) frequency domain.

Page 58: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.43Example 6.22.

Page 59: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.24Exercise Problem 6.24.

Page 60: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.44Example 6.23.

Page 61: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.25Exercise Problem 6.25.

Page 62: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.45 Illustration of series resonance: (a) the series LC circuit, (b) the phasorequivalent, and (c) a plot of the magnitude of the series impedance versus radian frequencyshowing that the impedance is zero at ω0 = 1/√ LC, where the series combination acts likea short circuit.

Page 63: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.46 Illustration of parallel resonance: (a) the parallel LC circuit, (b) thephasor equivalent, and (c) a plot of the magnitude of the parallel admittance versus radianfrequency showing that the admittance is zero at ω0 = 1/√ LC where the parallelcombination acts like an open circuit.

Page 64: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.47 Illustration of the magnitude of the transfer function for (a) a lowpassfilter, (b) a highpass filter, (c) a bandpass filter, and (d ) a bandreject filter.

Page 65: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.48Circuit implementation of(a) a lowpass filter, (b) ahighpass filter, (c) a bandpassfilter, and (d ) a bandrejectfilter.

Page 66: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.49An op-amp (active) bandpass filter.

Page 67: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure E6.30Exercise Problem 6.30.

Page 68: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.50Representation of athree-phase powersource: (a) the circuitmodel, (b) the phasordiagram, and (c) physicalconstruction of athree-phase generator.

Page 69: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.51Two common loadconnections: (a) thewye-connected load,and (b) the delta-connected load.

Page 70: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.52Example 6.27.

Page 71: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.53Example 6.28.

Page 72: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.54PSPICE plots of thefrequency response of thebandpass filter of Fig. 6.53:(a) magnitude (in decibels),(b) magnitude (absolute),and (c) phase (degrees).

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Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.55Example 6.29.

Page 74: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.56Example 6.30.

Page 75: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.57 MATLAB plots of the frequency response of the bandpass filter of

Fig.

6.53: (a) magnitude (in decibels), and (b) phase (degrees).

Page 76: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.58AM radio transmission.

Page 77: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.59Design of a filter for AM radio transmissions: Example 6.31.

Page 78: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure 6.60Illustration of thephenomenon of crosstalkbetween wire-connectedcircuits: (a) the physicalconfiguration of two pairsof closely spaced wires,(b) magnetic field coupling,(c) electric field coupling,(d) a lumped-circuit modelof the interaction betweenthe two circuits, and (e)typical element valuesalong with the PSPICEnode labeling.

Page 79: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-1

Page 80: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-2

Page 81: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-3

Page 82: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-4

Page 83: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-5

Page 84: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-6

Page 85: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.3-7

Page 86: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.3-8

Page 87: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-9

Page 88: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-10

Page 89: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-11

Page 90: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-12

Page 91: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-13

Page 92: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-14

Page 93: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-15

Page 94: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-16

Page 95: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-17

Page 96: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-18

Page 97: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-19

Page 98: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-20

Page 99: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-21

Page 100: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-22

Page 101: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.4-23

Page 102: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-1

Page 103: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-2

Page 104: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-3

Page 105: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-4

Page 106: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-5

Page 107: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-6

Page 108: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-7

Page 109: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-8

Page 110: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-9

Page 111: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.5-10

Page 112: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.6-1 (a–d)

Page 113: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.6-2

Page 114: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-3

Page 115: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-4

Page 116: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-5

Page 117: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-6

Page 118: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-7

Page 119: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-8

Page 120: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-9

Page 121: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-10

Page 122: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-11

Page 123: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-12

Page 124: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-13

Page 125: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-14

Page 126: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-15

Page 127: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-16

Page 128: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-17

Page 129: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-18

Page 130: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-19

Page 131: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-20

Page 132: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-21

Page 133: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.6-22

Page 134: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.8-5

Page 135: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.8-6

Page 136: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.8-7

Page 137: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.8-8

Page 138: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.8-9

Page 139: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.9-1

Page 140: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.9-2

Page 141: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

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Figure P6.9-3

Page 142: Figure 6.1 a A ωt b A ωt c A ωt φ d A ωt A ωt A ωt A ωt · 2000-06-21 · Figure 6.1 Illustration of sinusoidal waveforms: (a) A sin ωt, (b) A cos ... Figure 6.5 An example

Fundamentals of Electric Circuit Analysis, by Clayton Paul

Figure P6.9-4