# 300+ Network Theorem MCQ

1. Find the value of I1, I2 and I3 using Kirchoff’s Law.

A. − 0.566A, 1.29A, − 1.91A
B. − 1.29A, − 0.566A, 1.91A
C. 1.29A, − 0.566A, − 1.91A
D. 1.91A, 0.566A, 1.29A

Using the matrix method:

Matrix(3, − 2,0) (I1) = (5)

( − 2,9, − 4) (I2) = (0)

(0, − 4,9) (I3) = ( − 15)

Solving this matrix equation, we get

I1 = 1.29A, I2 = − 0.566A and I3 = − 1.91A.

2. Find the value of V, if the value of I3 = 0A.

A. 1.739 V
B. 6.5 V
C. 4.5V
D.2.739V

As shown in the circuit the given equation will be

5 − 3I1 + 2I2 = 0, 9I2 − 2I1 = 0

− 4I2 + V = 0

On solving,

V = 1.739V.

3. Find the value of R if the power in the circuit is 1000W.

A. 10 ohm
B. 9 ohm
C. 8 ohm
D. 7 ohm

To find the value of I:

VI = P = >100I = 1000 = > I = 10A.

Voltage across the 2 ohm resistor = 20V.

Voltage across the R resistor = 100 − 20 = 80V.

R = V/I = > R = 80/10 = 8A.

4. Find the current in the 4-ohm resistor.

A. 5A
B. 0A
C. 2.2A
D. 20A

The 4-ohm resistor gets shorted since the current always prefers the low resistance path. All the current flows to the branch which is connected in parallel to the 4-ohm branch, hence no current flows in the 4-ohm resistance.

5. Nodal analysis is generally used to determine______

A. Voltage
B. Current
C. Resistance
D. Power

The nodal analysis uses Kirchhoff’s Current Law to find all the node voltages. Hence it is a method used to determine the voltage.

6. Mesh analysis is generally used to determine _________

A. Voltage
B. Current
C. Resistance
D. Power

Mesh analysis uses Kirchhoff’s Voltage Law to find all the mesh currents. Hence it is a method used to determine current.

7. KVL is associated with ____________

A. Mesh analysis
B. Nodal analysis
C. Both mesh and nodal
D. Neither mesh nor nodal

KVL employs mesh analysis to find the different mesh currents by finding the IR products in each mesh.

8. KCL is associated with_________

A. Mesh analysis
B. Nodal analysis
C. Both mesh and nodal
D. Neither mesh nor nodal

KCL employs nodal analysis to find the different node voltages by finding the value of a current in each branch.

9. Find the value of the currents I1, I2, and I3 flowing clockwise in the

A. 1.54A, − 0.189A, − 1.195A
B. 2.34A, − 3.53A, − 2.23A
C. 4.33A, 0.55A, 6.02A
D. − 1.18A, − 1.17A, − 1.16A

The three mesh equations are:

− 3I1 + 2I2 − 5 = 0

2I1 − 9I2 + 4I3 = 0

4I2 − 9I3 − 10 = 0

Solving the equations, we get

I1 = 1.54A, I2 = − 0.189 and I3 = − 1.195A.

10. Find the value of the currents I1 and I2 flowing clockwise in the first node.

A. 0.96A, 1.73A
B. 0.96A, − 1.73A
C. − 0.96A, 1.73A
D. − 0.96A, − 1.73A

The two mesh equations are:

5I1 − 3I2 = 10

− 3I1 + 7I2 = − 15

Solving the equations simultaneously, we get

I1 = 0.96A and I2 = − 1.73A.

11. Find the value of V if the current in the 3-ohm resistor = 0.

A. 3.5V
B. 6.5V
C. 7.5V
D. 8.5V

Taking the mesh currents in the three meshes as I1, I2 and I3, the mesh equations are:

3I1 + 0I2 + 0V = 5

− 2I1 − 4I2 + 0V = 0

0I1 + 9I2 + V = 0

Solving these equations simultaneously and taking the value of I2 = 0, we get

V = 7.5V.

12. Find the value of V1 if the current through the 1-ohm resistor = 0A.

A. 83.33V
B. 78.89V
C. 87.87V
D. 33.33V

Taking I1, I2, and I3 as the currents in the three meshes and taking I3 = 0 since it is the current across the 1-ohm resistor, the three mesh equations are:

15I1 − 5I2 = V1

− 5I1 + 10I2 = 0

3I2 = 10

Solving these equations simultaneously we get

V1 = 83.33V.

13. Calculate the mesh currents I1 and I2 flowing in the first and second meshes respectively.

A. 1.75A, 1.25A
B. 0.5A, 2.5A
C. 2.3A, 0.3A
D. 3.2A, 6.5A

In this circuit, we have a super mesh present.
Let I1 and I2 be the currents in loops in a clockwise direction. The two mesh equations are:

I2 − I1 = 3
− 5I1 − 3I2 = 5

Solving these equations simultaneously, we get

I1  = − 1.75A and I2  = 1.25A.

Since no specific direction is given so currents in loop 1 and loop 2 are 1.75A and 1.25A respectively.

14. I1 is the current flowing in the first mesh. I2 is the current flowing in the second mesh and I3 is the current flowing in the top mesh. If all three currents are flowing in the clockwise direction, find the value of I1, I2, and I3.

A. 7.67A, 10.67A, 2A
B. 10.67A, 7.67A, 2A
C. 7.67A, 8.67A, 2A
D. 3.67A, 6.67A, 2A

The two meshes which contain the 3A current is a super mesh. The three mesh equations therefore are:

I3 = 2A
I2 − I1 = 3
− 2I1 − I2 = − 26

Solving these equations simultaneously we get:

I1 = 7.67A, I2 = 10.67A and I3 = 2A.

15. Calculate the mesh currents of the given circuit

A. 7A, 6A, 6.22A
B. 2A, 1A, 0.57A
C. 3A, 4A, 5.88A
D. 6A, 7A, 8.99A

The two meshes which contain the 3A source, act as a supper mesh. The mesh equations are:

I1 − I3 = − 3
4I1 − 14I2 + 11I3 = 10
4I1 − 28I2 + 10I3 = 0

Solving these equations simultaneously, we get the three currents as

I1 = − 1A, I2 = 0.57A, I3 = 2A

So currents are 2A, 1A, 0.57A.

16. Mesh analysis employs the method of _________

A. KVL
B. KCL
C. Both KVL and KCL
D. Neither KVL nor KCL

KVL employs mesh analysis to find the different mesh currents by finding the IR products in each mesh.

17. Mesh analysis is generally used to determine _________

A. Voltage
B. Current
C. Resistance
D. Power

Mesh analysis uses Kirchhoff’s Voltage Law to find all the mesh currents. Hence it is a method used to determine current.

18. Mesh analysis can be used for __________

A. Planar circuits
B. Non-planar circuits
C. Both planar and non-planar circuits
D. Neither planar nor non-planar circuits

If the circuit is not planar, the meshes are not clearly defined. In planar circuits, it is easy to draw the meshes hence the meshes are clearly defined.

19. Mesh analysis is applicable for non-planar networks also.

A. true
B. false

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.

20. A mesh is a loop that contains _________ number of loops within it.

A. 1
B. 2
C. 3
D. no loop

A loop is a closed path. A mesh is defined as a loop that does not contain any other loops within it.

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