Question
Asked Sep 16, 2019

Also show that the power balance is achieved.

Exercise 3.2.12
About
The magnitude of the dependent current source in the circuit below depends on the current I,, flowing through the 102 resistor.
(a)
Determine I
5 Ω
w
10 Ω
20 2
12.3 V
4Ω
21x
2Ω
Feedback?
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Exercise 3.2.12 About The magnitude of the dependent current source in the circuit below depends on the current I,, flowing through the 102 resistor. (a) Determine I 5 Ω w 10 Ω 20 2 12.3 V 4Ω 21x 2Ω Feedback?

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Step 1

Mark the node by their voltages as shown below-

5Ω
Is
10 Ω Τ.
20Ω
Θ33V 4Ωξ
21
2Ω
| 12.3 V
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5Ω Is 10 Ω Τ. 20Ω Θ33V 4Ωξ 21 2Ω | 12.3 V

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Step 2

Applying Nodal analysis to the node ‘a’-

V,-12.3
0 =
10
4
20
2V-2x12.3 5V +V=V;
a
0
20
8V-24.6-0
8-V24.6 ..
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V,-12.3 0 = 10 4 20 2V-2x12.3 5V +V=V; a 0 20 8V-24.6-0 8-V24.6 ..

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Step 3

Now applying nodal analysis to t...

V
V-V-21
V -12.3
= 0
5
2
20
V - V-4010V4-4x12.3
=0
20
15-V401 = 49.2 ...(2)
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V V-V-21 V -12.3 = 0 5 2 20 V - V-4010V4-4x12.3 =0 20 15-V401 = 49.2 ...(2)

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