This set of Basic Electrical Engineering Multiple Choice Questions & Answers (MCQs) focuses on “Nodal Analysis”.

1. Find the value of the node voltage V.

a) 60V

b) 50V

c) 40V

d) 30V

View Answer

Explanation: The node equation is:

-2+8+V/10=0 => 6 + v/10 = 0 => v = 10*6=>60v

Solving this equation, we get V=60V.

2. Calculate the node voltages V1 and V2.

a) 12V, 13V

b) 13V, 15V

c) 14V, 16V

d) 16V, 18V

View Answer

Explanation: The nodal equations are:

2V1-V2=12

-4V1+5V2=24

Solving these equations simultaneously, we get V1=14V and V2=16V.

3. Find the node voltage V.

a) 1V

b) 2V

c) 3V

d) 4V

View Answer

Explanation: The nodal equation is:

(V-10)/2+(V-7)/3+V/1=0

Solving for V, we get V=4V.

4. Calculate the node voltages.

a) 24.32V, 4.09V, 7.04V

b) 32.34V, 7.87V, 8.78V

c) 34.34V, 8.99V, 8.67V

d) 45.44V, 6.67V, 7.77V

View Answer

Explanation: The nodal equations, considering V1, V2 and V3 as the first, second and third node respectively, are:

-8+(V1-V2)/3-3+(V1_V3)/4=0

3+V2+(V2-V3)/7+(v2-V1)/3=0

2.5+(V3-V2)/7+(V3-V1)/4+V3/5=0

Solving the equations simultaneously, we get V1=24.32V, V2=4.09V and V3=7.04V.

5. Find the value of V1 and V2.

a) 87.23V, 29.23V

b) 23.32V, 46.45V

c) 64.28V, 16.42V

d) 56.32V, 78, 87V

View Answer

Explanation: The nodal equations are:

0.3V1-0.2V2=16

-V1+3V2=-15

Solving these equations simultaneously, we get V1=64.28V and V2=16.42V.

6. Nodal analysis is generally used to determine_______

a) Voltage

b) Current

c) Resistance

d) Power

View Answer

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

7. KCL is associated with_________

a) Mesh analysis

b) Nodal analysis

c) Both mesh and nodal

d) Neither mesh nor nodal

View Answer

Explanation: KCL employs nodal analysis to find the different node voltages by finding the value if current in each branch.

8. If there are 10 nodes in a circuit, how many equations do we get?

a) 10

b) 9

c) 8

d) 7

View Answer

Explanation: The number of equations we get is always one less than the number of nodes in the circuit, hence for 10 nodes we get 9 equations.

9. Nodal analysis can be applied for________

a) Planar networks

b) Non-planar networks

c) Both planar and non-planar networks

d) Neither planar nor non-planar networks

View Answer

Explanation: Nodal analysis can be applied for both planar and non-planar networks since each node, whether it is planar or non-planar, can be assigned a voltage.

10. How many nodes are taken as reference nodes in nodal analysis?

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: In nodal analysis one node is treated as the reference node and the voltage at that point is taken as 0.

**Sanfoundry Global Education & Learning Series – Basic Electrical Engineering.**

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