Circuit Theory Ipitt.edu/~qiw4/Academic/MEMS0031/ch2-3.pdf · Circuit Theory I Circuit Elements...
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Circuit Theory I Circuit Elements Ohm’s Law Kirchhoff’s Current Law, KCL Kirchhoff’s Voltage Law, KVL
Transcript of Circuit Theory Ipitt.edu/~qiw4/Academic/MEMS0031/ch2-3.pdf · Circuit Theory I Circuit Elements...
Circuit Theory I
Circuit Elements Ohm’s Law Kirchhoff’s Current Law, KCL Kirchhoff’s Voltage Law, KVL
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vs = 15V vs = 8V
is = 6A is = 15A
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dq = q dn = q n S dl = q n S u dt
u = μnE = μnvl
dq = q n S μn
v
ldt i
dq
dt= q n μn
S
lv
= 1/
= 1/R
p = v i = R i 2 =v 2
R
v = R i i =v
R=G v
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ikany node k
= 0
From node a : i1 = isFrom node b (and a) : ic = i1 = isFrom node c (and a &b) : il = ic = isFrom node d : il = is
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Node A : I in = I1 + I 7
Node B : I1 = I 2 + I 3
Node C : I 7 = I 5 + I 4
Node D : I 5 + I 3 I 6 = 0
Reference Node : I in I 4 I 6 = 0
E
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vijany loop L
= 0
+–s = V0
R1 R2 R3
+
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+
– 3
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+
From L1 : vs = v1
From L2 (and L1) : v2 = v1 = vs
From L3 (and L2 & L1) : v3 = v2 = vs
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E
A-C-E-A
A-B-C-A
B-D-C-B
C-D-E-C
A-B-D-E-A
A-B-C-E-A
E
A-C-E-A
A-B-C-A
B-D-C-B
C-D-E-C
A-B-D-E-A
Loop ABCA :VAB +VBC VAC = 0
Loop ACEA : VAE +VAC +VCE = 0
Loop CDEA :VCE VCD VDE = 0
Loop BDCB :VBC VBD +VCD = 0
Loop ABDEA :VAE = VAB +VBD +VDE = 0
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IV
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+–vs = 1V
R1 = 4
R2 = 6 R4 = 10R3 = 10k v2= 10v 2
v1
v2vO
vOis
is
i3 i4
ik
vs = v1 + v2
ik + i3 + i4 = 0
v1 = R1is
v2 = R2is
is =vs
R1 + R2
=1
4 + 6
V= 0.1A
v1 = R1is = 4 0.1A = 0.4V
v2 = R2is = 6 0.1A = 0.6V
vO = R3i3vO = R4i4
vO = ikR3R4
R3 + R4
= 6A 5 = 30V
vs = 1V
ik = kv2 ik = kv2 = 10A
V0.6V = 6A
i3 =vOR3
=30V
10= 3A
i4 =vOR4
=30V
10= 3A
