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Calculate the node voltages.

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in Basic Electrical Engineering by (88.7k points)
Calculate the node voltages.

(a) 30.77V, 7.52V, 18.82V

(b) 32.34V, 7.87V, 8.78V

(c) 34.34V, 8.99V, 8.67V

(d) 45.44V, 6.67V, 7.77V

This question was posed to me in an interview.

My enquiry is from Nodal Analysis topic in portion Network Theorems of Basic Electrical Engineering

1 Answer

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The correct choice is (a) 30.77V, 7.52V, 18.82V

The best 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=30.77V, V2=7.52V and V3=18.82V.

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