Basic Nodal And Mesh Analysis - 1


10 Questions MCQ Test Topicwise Question Bank for GATE Electrical Engineering | Basic Nodal And Mesh Analysis - 1


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QUESTION: 1

 Of the two methods of loop and node variable analysis

Solution:
QUESTION: 2

 Which of the following is not true about the circuit shown below?

Solution:

Number of junction point for the given circuit is 6.

QUESTION: 3

 For the circuit shown below, the current through the 1 Ω resistor is

Solution:

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

Applying nodal analysis at node (x), we get 

QUESTION: 4

An electric circuit with 8 branches and 4 nodes will have

Solution:

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

QUESTION: 5

 For the circuit shown below, the current through the 10 V battery is

Solution:

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

QUESTION: 6

 In the circuit shown in figure below, the value of V2/V1 is

Solution:

Applying KVL in the loops, we get 

On solving equations (i) and (ii), we get 

QUESTION: 7

 The value of V in volts for the circuit shown below is

Solution:

The equivalent resistance across the 5 A current source is

QUESTION: 8

The number of KVL and KCL equations for the circuit shown below are

Solution:

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

QUESTION: 9

The current l flowing in the given figure is

Solution:
QUESTION: 10

The value of dependent source for the circuit shown below is

Solution:

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

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