Homework 9
Due: Wednesday, September 14
1
(a) For the circuit of Figure 1,
R
1
= 3 kΩ,
R
2
= 15 kΩ,
R
3
= 12 kΩ,
I
s
= 100 mA
and
g
m
= 1
.
2 mS. Find
I
1
and
V
x
by writing two equations in the two unknowns
I
1
and
V
x
. The ﬁrst equation is the usual loop equation and the second determines the
relationship of
I
1
and
V
x
.
(b) Given your answer to (a), ﬁnd the equivalent resistance,
R
eq
, seen by the inde
pendent source.
(c) Find the power delivered by the dependent source.
Figure 1: Model circuits for Problem 1.
1
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The circuit of Figure 2(a),(b) represents two nonideal batteries
V
s
1
= 7 V and
V
s
2
= 8 V with internal resistances
R
1
= 10 Ω and
R
2
= 40 Ω (faulty connection)
respectively connected in parallel to supply power to a load of
R
3
= 40 Ω. The panels
(a) and (b) of Figure 2 correspond to the same circuit redrawn with diﬀerent loop
currents. The point of this problem is to verify that diﬀerent sets of independent
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 Fall '08
 ALL
 SEPTA Regional Rail, The Circuit, Jaguar Racing

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