Nodal Analysis MCQ [Free PDF] – Objective Question Answer for Nodal Analysis Quiz

Nodal analysis is applicable for both planar and non-planar networks. Each node in a circuit can be assigned a number or a letter.

In nodal analysis, only one node is taken as a reference node. And the node voltage is the voltage of a given node with respect to one particular node called the reference node.

I1  = (4 − V)/2

I2  = (V + 6)/3.

The nodal equation at node P will be I1 + 3 = I2.

On solving, V = 9V.

10 = (V1 − V2)/14 + (V1 − V3)/R1.

From the circuit,

V1 = 100V,

V2 = 15×2 = 30V

V3 = 40V.

On solving, R1 = 12Ω.

V1 = 100V,

V2 = 15×2 = 30V

V3 = 40V

(V1 − V2)/14 + (V1 − V3)/R2 = 15.

On solving we get R2  = 6Ω.

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 the above equations, we get V1 = 6.32V.

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 the above equations, we get V2 = 4.7V.

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.

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.

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.