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1.

Find the value of the current (A) in the equivalent current source of the voltage source shown below.(a) 1(b) 2(c) 3(d) 4The question was posed to me by my school principal while I was bunking the class.My question is taken from Supernode Analysis topic in chapter Methods of Analyzing Circuits of Network Theory

Answer»

Correct answer is (b) 2

Best 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.

2.

Find the value of the voltage (V) in the equivalent voltage source of the current source shown below.(a) 20(b) 25(c) 30(d) 35I have been asked this question in an international level competition.The origin of the question is Supernode Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

Right choice is (c) 30

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.

3.

Find the power absorbed by 5Ω resistor in the following figure.(a) 60(b) 65.5(c) 70.6(d) 75I had been asked this question in an online interview.I need to ask this question from Supernode Analysis topic in division Methods of Analyzing Circuits of Network Theory

Answer»

The correct CHOICE is (b) 65.5

For 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.

4.

Consider the figure shown below. Find the voltage (V) at node 2.(a) 11.5(b) 12(c) 12.5(d) 13This question was addressed to me in an online quiz.I would like to ask this question from Supernode Analysis in division Methods of Analyzing Circuits of Network Theory

Answer»

Correct option is (a) 11.5

The best 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.

5.

Find the voltage (V) at node 3 in the figure shown below.(a) 18(b) 20(c) 22(d) 24The question was posed to me at a job interview.Question is taken from Supernode Analysis in division Methods of Analyzing Circuits of Network Theory

Answer» RIGHT CHOICE is (a) 18

The 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.
6.

Find the voltage (V) at node 1 in the circuit shown below.(a) 18(b) 19(c) 20(d) 21I have been asked this question during an online exam.This interesting question is from Supernode Analysis topic in division Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT option is (b) 19

To elaborate: 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.

7.

Consider the figure shown below. Find the power (W) delivered by the source 6A.(a) 20.3(b) 21.3(c) 22.3(d) 24.3I have been asked this question during an interview.Query is from Supernode Analysis in section Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT answer is (C) 22.3

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.

8.

Consider the figure shown below. Find the voltage (V) at node 3.(a) 4.5(b) 5.5(c) 6.5(d) 7.5I had been asked this question in semester exam.This interesting question is from Supernode Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

Correct choice is (a) 4.5

For 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. AlsoV1-V2=10. On SOLVING above equations, we GET V3 = 4.5V.

9.

Consider the figure shown below. Find the voltage (V) at node 2.(a) 3(b) 4(c) 5(d) 6I got this question in unit test.My question is from Supernode Analysis topic in division Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT answer is (b) 4

The 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. AlsoV1-V2=10. On solving above EQUATIONS, we GET V2 = 3.72V ≈ 4V.

10.

Consider the figure shown below. Find the voltage (V) at node 1.(a) 13(b) 14(c) 15(d) 16I had been asked this question by my college professor while I was bunking the class.This interesting question is from Supernode Analysis topic in division Methods of Analyzing Circuits of Network Theory

Answer»

Right option is (b) 14

For explanation I would SAY: 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. AlsoV1-V2=10. On solving above EQUATIONS, we get V1 = 13.72V ≈ 14V.

11.

Find the voltage at node 2 of the circuit shown below.(a) 13(b) 14(c) 15(d) 16This question was posed to me at a job interview.I'm obligated to ask this question of Nodal Analysis topic in chapter Methods of Analyzing Circuits of Network Theory

Answer»

Right option is (b) 14

To elaborate: APPLYING Kirchhoff’s current LAW at node 1, 10 = V1/10+(V1-V2)/3. At node 2, (V2-V1)/3+V2/5+(V2-10)/1=0. On solving the above EQUATIONS, we get V2=14V.

12.

Find the voltage at node 1 of the circuit shown below.(a) 32.7(b) 33.7(c) 34.7(d) 35.7This question was posed to me in final exam.The question is from Nodal Analysis topic in portion Methods of Analyzing Circuits of Network Theory

Answer»

Right choice is (b) 33.7

For EXPLANATION: APPLYING Kirchhoff’s current LAW at node 1, 10 = V1/10+(V1-V2)/3. At node 2, (V2-V1)/3+V2/5+(V2-10)/1=0. On SOLVING the above equations, we get V1=33.7V.

13.

Find the voltage (V) at node 2 in the circuit shown below.(a) 2.7(b) 3.7(c) 4.7(d) 5.7This question was posed to me by my school principal while I was bunking the class.The above asked question is from Nodal Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

Right option is (C) 4.7

The EXPLANATION is: At NODE 1, (1/1+1/2+1/3)V1-(1/3)V2 = 10/1. At node 2, -(1/3)V1+(1/3+1/6+1/5)V2 = 2/5+5/6. On solving above equations, we get V2=4.7V.

14.

Find the voltage (V) at node 1 in the circuit shown.(a) 5.32(b) 6.32(c) 7.32(d) 8.32This question was posed to me in an online quiz.Query is from Nodal Analysis in division Methods of Analyzing Circuits of Network Theory

Answer» RIGHT choice is (b) 6.32

Explanation: At node 1, (1/1+1/2+1/3)V1-(1/3)V2 = 10/1. At node 2, -(1/3)V1+(1/3+1/6+1/5)V2 = 2/5+5/6. On solving above equations, we get V1=6.32V.
15.

Find the value of the resistor R2 (Ω) in the circuit shown below.(a) 5(b) 6(c) 7(d) 8I have been asked this question by my college director while I was bunking the class.The query is from Nodal Analysis in division Methods of Analyzing Circuits of Network Theory

Answer»

The correct CHOICE is (b) 6

The best EXPLANATION: As V1=100V, V2=15×2=30V, V3=40V. (V1-V2)/14+(V1-V3)/R2=15. On solving we GET R2 = 6Ω.

16.

Find the resistor value R1(Ω) in the figure shown below.(a) 10(b) 11(c) 12(d) 13The question was posed to me during an interview.This is a very interesting question from Nodal Analysis topic in chapter Methods of Analyzing Circuits of Network Theory

Answer»

The correct OPTION is (C) 12

To explain: 10=(V1-V2)/14+(V1-V3)/R1. From the CIRCUIT, V1=100V, V2=15×2=30V, V3=40V. On SOLVING, R1=12Ω.

17.

Find the voltage at node P in the following figure.(a) 8V(b) 9V(c) 10V(d) 11VThis question was posed to me in an international level competition.This is a very interesting question from Nodal Analysis topic in portion Methods of Analyzing Circuits of Network Theory

Answer»

The correct OPTION is (b) 9V

To elaborate: I1 = (4-V)/2,I2 = (V+6)/3. The NODAL equation at NODE P will be I1+3=I2. On SOLVING, V=9V.

18.

In nodal analysis how many nodes are taken as reference nodes?(a) 1(b) 2(c) 3(d) 4The question was asked during a job interview.My query is from Nodal Analysis in chapter Methods of Analyzing Circuits of Network Theory

Answer»

The correct answer is (a) 1

Best EXPLANATION: In nodal analysis only ONE node is taken as REFERENCE node. And the node VOLTAGE is the voltage of a given node with RESPECT to one particular node called the reference node.

19.

Nodal analysis can be applied for non planar networks also.(a) true(b) falseThis question was addressed to me during an interview.My query is from Nodal Analysis in division Methods of Analyzing Circuits of Network Theory

Answer»

Right option is (a) true

Explanation: NODAL analysis is APPLICABLE for both PLANAR and non planar networks. Each node in a circuit can be assigned a NUMBER or a letter.

20.

If there are 8 nodes in network, we can get ____ number of equations in the nodal analysis.(a) 9(b) 8(c) 7(d) 6I had been asked this question in an interview.Origin of the question is Nodal Analysis topic in portion Methods of Analyzing Circuits of Network Theory

Answer»

Right choice is (c) 7

Easy explanation: NUMBER of equations = N-1 = 7. So as there are 8 nodes in NETWORK, we can get 7 number of equations in the NODAL analysis.

21.

Find the current I2 in the circuit shown below.(a) 5.3(b) -5.3(c) 7.3(d) -7.3This question was posed to me in exam.My enquiry is from Supermesh Analysis in section Methods of Analyzing Circuits of Network Theory

Answer»

Correct OPTION is (d) -7.3

Explanation: Applying Super Mesh ANALYSIS, (10+5)I1-10(I2)-5(I3) = 50. 2(I2) + I3 + 5(I3-I1) + 10(I2-I1) = 0. I2 – I3 = 2. On solving above EQUATIONS, we get I2=-7.3A.

22.

Find the current I1 in the circuit shown below.(a) 8(b) -8(c) 9(d) -9This question was addressed to me in an internship interview.Asked question is from Supermesh Analysis topic in chapter Methods of Analyzing Circuits of Network Theory

Answer» RIGHT CHOICE is (b) -8

To explain: Applying Super Mesh analysis, (10+5)I1 – 10(I2) – 5(I3) = 50. 2(I2) + I3 + 5(I3-I1) + 10(I2-I1) = 0. I2 – I3 = 2. On solving above equations, we get I1=-8A.
23.

Find the current i3 in the circuit shown below.(a) 8.18(b) 9.18(c) 10.18(d) 8.8This question was posed to me during an internship interview.Asked question is from Supermesh Analysis topic in portion Methods of Analyzing Circuits of Network Theory

Answer»

Correct answer is (a) 8.18

Easy EXPLANATION: For 2nd loop, 10 + 2(i2-i3) + 3(i2-i1) = 0. For 3RD loop,i3 + 2(i3-i2)=10. As i1=10A, On solving above EQUATIONS, we get i3=8.18A.

24.

Find the current i1 in the circuit shown below.(a) 8(b) 9(c) 10(d) 11The question was asked by my school teacher while I was bunking the class.My question is from Supermesh Analysis topic in division Methods of Analyzing Circuits of Network Theory

Answer» RIGHT option is (c) 10

Explanation: The CURRENT in the FIRST LOOP is equal to 10A. So the current i1 in the circuit is i1 = 10A.
25.

Find the current i2 in the circuit shown below.(a) 6.27(b) 7.27(c) 8.27(d) 9.27This question was addressed to me in an online interview.This is a very interesting question from Supermesh Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

Correct choice is (b) 7.27

For explanation I would say: For 2ND LOOP, 10 + 2(i2-i3) + 3(i2-i1) = 0. For 3rd loop,i3 + 2(i3-i2)=10. As i1=10A, On solving above equations, we get i2=7.27A.

26.

Find the power (W) supplied by the voltage source in the following figure.(a) 0(b) 1(c) 2(d) 3The question was posed to me at a job interview.My question comes from Supermesh Analysis in division Methods of Analyzing Circuits of Network Theory

Answer»

Correct ANSWER is (a) 0

The best EXPLANATION: I3-I2=2. As I2=-2A,I3=0A. TH term power is the product of voltage and current. So, power SUPPLIED by source = 10×0=0W.

27.

Consider the circuit shown below. Find the current I2 (A).(a) -2(b) -1(c) 2(d) 1I got this question during an online interview.My query is from Supermesh Analysis in chapter Methods of Analyzing Circuits of Network Theory

Answer»

The correct answer is (a) -2

The BEST I can explain: Applying SUPER mesh ANALYSIS, the EQUATIONS will be I1+I1+10+I2+I2=0. I1+I2=-5. I2-I1=1. On solving, I2=-2A.

28.

Consider the circuit shown below. Find the current I1 (A).(a) -1(b) -2(c) -3(d) -4This question was addressed to me in an international level competition.My query is from Supermesh Analysis topic in section Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT answer is (c) -3

Explanation: APPLYING Super mesh analysis, the EQUATIONS will be I1+I1+10+I2+I2=0. I1+I2=-5. I2-I1=1. On SOLVING, I1=-3A.

29.

Consider the circuit shown below. Find the current I2 (A).(a) 1.33(b) 2.33(c) 3.33(d) 4.33This question was addressed to me in an online quiz.I'd like to ask this question from Supermesh Analysis topic in chapter Methods of Analyzing Circuits of Network Theory

Answer» CORRECT choice is (C) 3.33

Easiest explanation: Applying Super MESH analysis, the equations will be I2-I1=2

-10+2I1+I2+4=0. On solving the above equations, I2=3.33A.
30.

Consider the circuit shown below. Find the current I1 (A).(a) 1(b) 1.33(c) 1.66(d) 2I got this question in an interview for job.My question comes from Supermesh Analysis topic in section Methods of Analyzing Circuits of Network Theory

Answer» RIGHT answer is (B) 1.33

The explanation: Applying Super MESH analysis, the equations will be I2-I1=2 -10+2I1+I2+4=0. On solving the above equations, I1=1.33A.
31.

Find current through R2 resistor.(a) 3(b) 3.25(c) 3.5(d) 3.75The question was asked in examination.Question is from Mesh Analysis in chapter Methods of Analyzing Circuits of Network Theory

Answer» RIGHT CHOICE is (d) 3.75

For explanation: Applying mesh analysis, 5(I1) + 2(I1-I2) = 10. 10(I2) + 2(I2-I1) + 40 = 0. On solving, I1 = 0.5A, I2 = -3.25A. So current through R2 RESISTOR is 0.5-(-3.25) = 3.75 A.
32.

Consider the following figure. Find the current I3 (A).(a) 4(b) 4.7(c) 5(d) 5.7The question was asked in quiz.This intriguing question comes from Mesh Analysis topic in chapter Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT answer is (b) 4.7

Explanation: According to mesh analysis, (1+3+6)I1 – 3(I2) – 6(I3) = 10. -3(I1) + (2+5+3)I2 = 4. -6(I1) + 10(I3) = -4 + 20. On solving the above equations, I3 = 4.7A.

33.

Consider the following figure. Find the current I2 (A).(a) 1.7(b) 2.6(c) 3.6(d) 4.6This question was posed to me during an online interview.I'm obligated to ask this question of Mesh Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

Right option is (a) 1.7

To elaborate: According to mesh analysis, (1+3+6)I1 – 3(I2) – 6(I3) = 10. -3(I1) + (2+5+3)I2 = 4. -6(I11) + 10(I3) = -4 + 20 On solving the above equations, I2 =1.7A.

34.

Consider the circuit shown below. Find the current I1.(a) 3.3(b) 4.3(c) 5.3(d) 6.3I got this question in a national level competition.I would like to ask this question from Mesh Analysis topic in section Methods of Analyzing Circuits of Network Theory

Answer»

The correct ANSWER is (B) 4.3

The best I can explain: According to mesh analysis, (1+3+6)I1 – 3(I2) – 6(I3) = 10

-3(I1) + (2+5+3)I2 = 4 -6(I1) + 10(I3) = -4 +20 On solving the above EQUATIONS, I1=4.3A.

35.

Consider the circuit shown in the figure. Find voltage Vx.(a) 1(b) 1.25(c) 1.5(d) 1.75This question was posed to me during an online exam.I want to ask this question from Mesh Analysis in section Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT CHOICE is (b) 1.25

The best I can explain: Consider CURRENT I1 (CW) in the loop 1 and I2 (ACW) in the loop 2. So, the equations will be VX+I2-I1=0. I1=5/2=2.5A. I2=4Vx/4= Vx. Vx+Vx-2.5=0. Vx = 1.25V.

36.

If there are 5 branches and 4 nodes in graph, then the number of mesh equations that can be formed are?(a) 2(b) 4(c) 6(d) 8The question was asked in an internship interview.I'm obligated to ask this question of Mesh Analysis in division Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT ANSWER is (a) 2

The EXPLANATION is: Number of mesh EQUATIONS = B-(N-1). Given number of branches = 5 and number of nodes = 4. So Number of mesh equations = 5-(4-1) = 2.

37.

In the figure shown below, the current through loop 1 be I1 and through the loop 2 be I2, thenthe current flowing through the resistor R2 will be?(a) I1(b) I2(c) I1-I2(d) I1+I2This question was posed to me in semester exam.Question is from Mesh Analysis topic in section Methods of Analyzing Circuits of Network Theory

Answer»

The correct ANSWER is (c) I1-I2

Easiest explanation: Through the RESISTOR R2 both the currents I1, I2 are flowing. So the CURRENT through R2 will be I1-I2.

38.

A mesh is a loop which contains ____ number of loops within it.(a) 1(b) 2(c) 3(d) no loopI got this question in unit test.My enquiry is from Mesh Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT choice is (d) no loop

To EXPLAIN: A loop is a CLOSED path. A mesh is defined as a loop which does not CONTAIN any other loops within it.

39.

Consider the circuit shown below. The number mesh equations that can be formed are?(a) 1(b) 2(c) 3(d) 4I got this question in an online quiz.Question is from Mesh Analysis in portion Methods of Analyzing Circuits of Network Theory

Answer»

The correct ANSWER is (b) 2

For explanation I WOULD SAY: We KNOW if there are n LOOPS in the circuit, n mesh equations can be formed. So as there are 2 loops in the circuit. So 2 mesh equations can be formed.

40.

For every tree there will be _____ number of cut set matrices.(a) 1(b) 2(c) 3(d) 4I had been asked this question in exam.My doubt is from Cut-Set and Tree Branch Voltages in division Methods of Analyzing Circuits of Network Theory

Answer»

Right choice is (a) 1

The explanation is: For EVERY tree, there will a unique cut set MATRIX. So, NUMBER of cut-set MATRICES for every tree = 1.

41.

Mesh analysis is applicable for non planar networks also.(a) true(b) falseI got this question by my college director while I was bunking the class.Origin of the question is Mesh Analysis in chapter Methods of Analyzing Circuits of Network Theory

Answer»

The correct answer is (b) false

The best explanation: MESH analysis is applicable only for planar NETWORKS. A circuit is said to be planar if it can be drawn on a PLANE surface WITHOUT crossovers.

42.

The number of cut set matrices formed from a graph is?(a) N^N-1(b) N^N(c) N^N-2(d) N^N+1The question was posed to me by my college professor while I was bunking the class.I need to ask this question from Cut-Set and Tree Branch Voltages topic in portion Methods of Analyzing Circuits of Network Theory

Answer» RIGHT choice is (c) N^N-2

To explain: For every TREE, there will be a UNIQUE cut set MATRIX. So there will be N^N-2 cut set MATRICES.
43.

The row formed at node ‘c’ in the cut set matrix in the following figure?(a) -1-100+1 -100(b) 00+100-1-10(c) +1000 +100+1(d) -1000-100-1The question was posed to me in semester exam.The doubt is from Cut-Set and Tree Branch Voltages in chapter Methods of Analyzing Circuits of Network Theory

Answer»

The correct ANSWER is (b) 00+100-1-10

Best EXPLANATION: The direction of the cut SET at node ‘c’ is AWAY from node ‘c’. So the CURRENT direction of I3 is same as cut set direction. So it is +1.Similarly for all other currents.

44.

The row formed at node ‘a’ in the cut set matrix in the figure shown below is?(a) +1 +1 +1 +1 0000(b) +1000 +100+1(c) -1000-100-1(d) -1-100-1 -100I had been asked this question in final exam.My question is based upon Cut-Set and Tree Branch Voltages topic in section Methods of Analyzing Circuits of Network Theory

Answer» RIGHT answer is (b) +1000 +100+1

Easiest explanation: The direction of the cut set at NODE ‘a’ is TOWARDS node ‘a’. So the current direction of I1 is same as cut set direction. So it is +1.Similarly for all other CURRENTS.
45.

In the graph shown below, the direction of the cut-set at node ‘d’ will be?(a) left(b) downwards(c) right(d) upwardsThis question was addressed to me during an interview.This interesting question is from Cut-Set and Tree Branch Voltages in section Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT answer is (c) right

Best EXPLANATION: The DIRECTION of the CUT set at node ‘d’ will be the direction of the branch current at node ‘d’. So the direction of the current will be UPWARDS.

46.

In the graph shown below, the direction of the cut-set at node ‘c’ is?(a) downwards(b) upwards(c) left(d) rightThis question was addressed to me during an online exam.My question comes from Cut-Set and Tree Branch Voltages in chapter Methods of Analyzing Circuits of Network Theory

Answer»

Right option is (B) UPWARDS

The BEST explanation: The DIRECTION of the CUT set at node ‘c’ will be the direction of the branch current at node ‘c’. So the direction of the current will be upwards.

47.

Consider the graph shown below. The direction of the cut-set at node ‘b’ will be?(a) upwards(b) right(c) downwards(d) leftI got this question in an interview for internship.The query is from Cut-Set and Tree Branch Voltages topic in division Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT CHOICE is (b) right

Explanation: The direction of the current will be towards right. The direction of the cut set at NODE ‘b’ will be the direction of the BRANCH current at node ‘b’. So the direction of the current will be towards right.

48.

Consider the graph shown below. The direction of the cut-set of node ‘a’ is?(a) right(b) left(c) upwards(d) downwardsThe question was posed to me during a job interview.Origin of the question is Cut-Set and Tree Branch Voltages topic in division Methods of Analyzing Circuits of Network Theory

Answer» RIGHT choice is (C) upwards

The EXPLANATION: The direction of the cut set at node ‘a’ will be the direction of the branch current at node ‘a’. So the direction of the current will be upwards.
49.

What is the direction of the cut-set?(a) same as the direction of the branch current(b) opposite to the direction of the link current(c) same as the direction of the link current(d) opposite to the direction of the branch currentI had been asked this question in final exam.This interesting question is from Cut-Set and Tree Branch Voltages in division Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT option is (a) same as the direction of the branch current

Explanation: A cut-SET is a minimal set of branches of a connected graph such that the removal of these branches causes the graph to be cut into EXACTLY TWO parts. The direction of the cut-set is same as the direction of the branch current.

50.

The number of tie set matrices formed from a graph is?(a) N^N-1(b) N^N(c) N^N-2(d) N^N+1I have been asked this question by my college professor while I was bunking the class.The question is from Link Currents: Tie-Set Matrix topic in section Methods of Analyzing Circuits of Network Theory

Answer»

The CORRECT option is (c) N^N-2

To elaborate: For EVERY TREE, there will be a unique tie SET matrix. So there will be N^N-2 tie set matrices.