Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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2. a) The adjustable voltage source Vs is set at 12 V in the circuit below. Determine the nodal
complexity of the circuit and, accordingly, solve for the current I under this condition.
2000 Ix
1 k2
2 k2
Vs
2 kn
3 mA
3 k2
Vo
b) What is the value of Vo under this condition?
c) The voltage source Vs is then adjusted until I, = 0 A. What would be the values of Vs
and Vo under this new condition?
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Transcribed Image Text:2. a) The adjustable voltage source Vs is set at 12 V in the circuit below. Determine the nodal complexity of the circuit and, accordingly, solve for the current I under this condition. 2000 Ix 1 k2 2 k2 Vs 2 kn 3 mA 3 k2 Vo b) What is the value of Vo under this condition? c) The voltage source Vs is then adjusted until I, = 0 A. What would be the values of Vs and Vo under this new condition?
Expert Solution
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Step 1

For the given circuit, labeling the nodes across the dependent voltage source as shown in the figure below.

Electrical Engineering homework question answer, step 1, image 1

Step 2

Applying nodal analysis,

I=V1+VS2×103+Ix103I=0.5(V1+VS)+103Ix 

Step 3

Plugging the value Vs=12 V,

103I=0.5V1+12+103Ix103I=0.5V1+103Ix+6   ...4.

Using equation (2) here,

0.333V2-3=0.5V1+103Ix+60.5V1-0.333V2+103Ix=-9   ...5.

Applying Ohm's law,

V1=2×103Ix=2000Ix   ...6.

Solving equation (3), (5) and (6),

V1=-27 V,V2=-54 V,Ix=-13.5 mA.

Answer (a): Ix=-13.5 mA.

 

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