Network Theory Questions and Answers – Supernode Analysis

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Supernode Analysis”.

1. Consider the figure shown below. Find the voltage (V) at node 1.
Find the voltage (V) at node 1 in the figure
a) 13
b) 14
c) 15
d) 16
View Answer

Answer: b
Explanation: Applying Super Node Analysis, the combined equation of node 1 and node 2 is (V1-V3)/3+3+(V2-V3)/1-6+V2/5=0. At node 3, (V3-V1)/3+(V3-V2)/1+V3/2=0. Also V1-V2=10. On solving above equations, we get V1 = 13.72V ≈ 14V.

2. Consider the figure shown below. Find the voltage (V) at node 2.
Find the voltage (V) at node 1 in the figure
a) 3
b) 4
c) 5
d) 6
View Answer

Answer: b
Explanation: Applying Super Node Analysis, the combined equation of node 1 and node 2 is (V1-V3)/3+3+(V2-V3)/1-6+V2/5=0. At node 3, (V3-V1)/3+(V3-V2)/1+V3/2=0. Also V1-V2=10. On solving above equations, we get V2 = 3.72V ≈ 4V.

3. Consider the figure shown below. Find the voltage (V) at node 3.
Find the voltage (V) at node 1 in the figure
a) 4.5
b) 5.5
c) 6.5
d) 7.5
View Answer

Answer: a
Explanation: Applying Super Node Analysis, the combined equation of node 1 and node 2 is (V1-V3)/3+3+(V2-V3)/1-6+V2/5=0. At node 3, (V3-V1)/3+(V3-V2)/1+V3/2=0. Also V1-V2=10. On solving above equations, we get V3 = 4.5V.
advertisement
advertisement

4. Consider the figure shown below. Find the power (W) delivered by the source 6A.
Find the voltage (V) at node 1 in the figure
a) 20.3
b) 21.3
c) 22.3
d) 24.3
View Answer

Answer: c
Explanation: The term power is defined as the product of voltage and current and the power delivered by the source (6A) = V2x6 = 3.72×6 = 22.32W.

5. Find the voltage (V) at node 1 in the circuit shown below.
The voltage (V) at node 1 in the given circuit is 19
a) 18
b) 19
c) 20
d) 21
View Answer

Answer: b
Explanation: The equation at node 1 is 10 = V1/3+(V1-V2)/2. According to super Node analysis, (V1-V2)/2=V2/1+(V3-10)/5+V3/2V2-V3=20. On solving, we get, V1=19V.
Note: Join free Sanfoundry classes at Telegram or Youtube

6. Consider the figure shown below. Find the voltage (V) at node 2.
The voltage (V) at node 1 in the given circuit is 19
a) 11.5
b) 12
c) 12.5
d) 13
View Answer

Answer: a
Explanation: The equation at node 1 is 10 = V1/3+(V1-V2)/2
According to super Node analysis, (V1-V2)/2=V2/1+(V3-10)/5+V3/2V2-V3=20. On solving, we get, V2=11.5V.

7. Find the voltage (V) at node 3 in the figure shown below.
Find the voltage (V) at node 3 in the figure
a) 18
b) 20
c) 22
d) 24
View Answer

Answer: a
Explanation: At node 1, (V1-40-V3)/4+(V1-V2)/6-3-5=0. Applying Super Node Analysis at node 2 and 3, (V2-V1)/6+5+V2/3+V3/5+(V3+40-V1)/4=0. Also, V3-V2=20. On solving above equations, V3 = 18.11V ≈ 18V.
advertisement

8. Find the power absorbed by 5Ω resistor in the following figure.
Find the voltage (V) at node 3 in the figure
a) 60
b) 65.5
c) 70.6
d) 75
View Answer

Answer: b
Explanation: The current through 5Ω resistor = V3/5=18.11/5=3.62A. The power absorbed by 5Ω resistor = (3.62)2)×5=65.52W.

9. Find the value of the voltage (V) in the equivalent voltage source of the current source shown below.
Find the value of the voltage (V) in the equivalent voltage source of the current source
a) 20
b) 25
c) 30
d) 35
View Answer

Answer: c
Explanation: The value of the voltage (V) in the equivalent voltage source of the current source the voltage across the terminals A and B is (6)(5) = 30V.
advertisement

10. Find the value of the current (A) in the equivalent current source of the voltage source shown below.
Find the value of the current (A) in the equivalent current source of the voltage source
a) 1
b) 2
c) 3
d) 4
View Answer

Answer: b
Explanation: The value of the current (A) in the equivalent current source of the voltage source the short circuit current at the terminals A and B is I=60/30=2A.

Sanfoundry Global Education & Learning Series – Network Theory.

To practice all areas of Network Theory, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

advertisement
advertisement
Subscribe to our Newsletters (Subject-wise). Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

Youtube | Telegram | LinkedIn | Instagram | Facebook | Twitter | Pinterest
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

Subscribe to his free Masterclasses at Youtube & discussions at Telegram SanfoundryClasses.