Test: Basic Nodal & Mesh Analysis - 1 - Electrical Engineering (EE) MCQ

Number of junction point for the given circuit is 6.

Using source transformation, the current source is converted to a voltage source as shown below.

Applying nodal analysis at node (x), we get 

Number of loop equation
= b - ( n - 1)
= 8 - ( 4 - 1 ) 
= 8 - 3 = 5

Using source transformation, first we convert the current source into an equivalent voltage source

Applying KVL in loop-1, we get 

Applying KVL in loop-2, we get

On solving equations (i) and (//). we get

i₁ = 2.36 A and i₂ = 4.91 A 

Hence, the current through the battery of 10 V is 

i₂ = 4.91 A

The two mesh equations are: 
5I1 - 3I2 = 10 
-3I1 + 7I2 = -15 
Solving the equations simultaneously, we get I1 = 0.96A and I2 = -1.73A.

The equivalent resistance across the 5 A current source is

Number of nodes, n = 5
Number of branchs, b = 6
Hence, number of KCL equation
= n - 1 = 5 - 1 = 4
and, number of KVL equations = b - ( n - 1)
= 6 - (5-1) = 6- 4 = 2

Applying KVL in the loop,
5 = 2i — 2i + i or i = 5 A
∴ Value of dependent source
= 2i = 2 x 5 = 10 volt