Announcements Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V...

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Announcements Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab <ΔV cd <ΔV ef c) yes, no 29.8: 1.5 V 29.12: E x (0cm<x<2cm) = +2,500 V/m E x (2cm<x<3cm) = -10,000 V/m 29.15: a) 27 V/m b) 3.7 V/m Office hours… MW 12:30-1:30 pm TR 9-10 am F 1-2 pm Tutorial Learning Center (TLC) hours: MW 8-10 am, 12-6 pm R 8-12 pm, 2-6 pm T 8-1 pm, 2-6 pm F 8-10 am, 2-5 pm

Transcript of Announcements Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V...

Page 1: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Announcements Homework for tomorrow…

Ch. 29: Probs. 20, 22, & 54CQ5: accelerates rightCQ6: a) Va>Vb b) ΔVab<ΔVcd<ΔVef c) yes, no29.8: 1.5 V29.12: Ex(0cm<x<2cm) = +2,500 V/m Ex(2cm<x<3cm) = -10,000 V/m29.15: a) 27 V/m b) 3.7 V/m

Office hours…MW 12:30-1:30 pm TR 9-10 am F 1-2 pm

Tutorial Learning Center (TLC) hours:MW 8-10 am, 12-6 pm R 8-12 pm, 2-6 pm T 8-1 pm, 2-6 pm F 8-10 am, 2-5 pm

Page 2: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Chapter 29

Potential & Field(Combinations of Capacitors)

Page 3: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Kirchoff’s Loop Rule…

Conductors in Electrostatic Equilibrium…

Capacitance…

Review…

Page 4: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Any two electrodes, regardless of their shape, form a capacitor.

The capacitance of two electrodes is..

and depends only on the geometry of the electrodes.

Forming a Capacitor…

Page 5: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

The spacing between the plates of a 1.0 μF capacitor is 0.050 mm

a. What is the surface area of the plates?

b. How much charge is on the plates if this capacitor is attached to a 1.5 V battery?

i.e. 29.6: Charging a capacitor

Page 6: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Consider two capacitors in parallel… Can we find an equivalent capacitor, Ceq, to the two

capacitors, C1 & C2?

Combinations of Capacitors

+

-

C1 C2

+

-

Ceq

Page 7: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Consider two capacitors in parallel… Can we find an equivalent capacitor, Ceq, to the two

capacitors, C1 & C2?

YES!

Combinations of Capacitors

+

-

C1 C2

+

-

Ceq

Page 8: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

What about for several capacitors in parallel? Can we find an equivalent capacitor, Ceq, to the

capacitors, C1 , C2, … (all in parallel)?

Combinations of Capacitors

+

-

C1 C2

+

-

CeqC3

Page 9: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

What about for several capacitors in parallel? Can we find an equivalent capacitor, Ceq, to the

capacitors, C1 , C2, … (all in parallel)?

YES!

Combinations of Capacitors

+

-

C1 C2

+

-

CeqC3

Page 10: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Consider two capacitors in series… Can we find an equivalent capacitor, Ceq, to the two

capacitors, C1 & C2?

Combinations of Capacitors

+

-

C1

C2

+

-

Ceq

Page 11: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Consider two capacitors in series… Can we find an equivalent capacitor, Ceq, to the two

capacitors, C1 & C2?

YES!

Combinations of Capacitors

+

-

C1

C2

+

-

Ceq

Page 12: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

What about several capacitors in series? Can we find an equivalent capacitor, Ceq, to the

capacitors, C1 , C2 ,… (all in series)?

Combinations of Capacitors

+

-

C1

C2

+

-

Ceq

C3

Page 13: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

What about several capacitors in series? Can we find an equivalent capacitor, Ceq, to the

capacitors, C1 , C2 ,… (all in series)?

YES!

Combinations of Capacitors

+

-

C1

C2

+

-

Ceq

C3

Page 14: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

The equivalent capacitance is

1. 9 F.

2. 6 F.

3. 3 F.

4. 2 F.

5. 1/2 F.

Quiz Question 1

Page 15: Announcements  Homework for tomorrow… Ch. 29: Probs. 20, 22, & 54 CQ5: accelerates right CQ6: a) V a >V b b) ΔV ab

Find the charge on and the potential difference across each of the three capacitors in the figure below.

Given: E = 12 V, C1 = 3 μF, C2 = 5 μF , C3 = 1 μF

i.e. 29.7:A Capacitor Circuit

+

-

C1

C2 C3