CET DC Circuit Analysis & Theory 3

Question 1

Three resistors of 6 Ω, 12 Ω, and 4 Ω are connected in parallel. What is the equivalent resistance?

Accepted Answer

2 Ω

Answer

1/R = 1/6 + 1/12 + 1/4 = 2/12 + 1/12 + 3/12 = 6/12; R = 2 Ω.

Question 2

Kirchhoff's Current Law states that the sum of currents entering a node equals:

Accepted Answer

The sum of currents leaving the node

Answer

KCL is based on conservation of charge: current in = current out at any node.

Question 3

In a parallel circuit with a 24 V source and branch resistors of 8 Ω and 12 Ω, what is the total current supplied by the source?

Accepted Answer

5 A

Answer

I1 = 24/8 = 3 A; I2 = 24/12 = 2 A; total = 5 A.

Question 4

A current divider has two parallel resistors, R1 = 10 Ω and R2 = 40 Ω. If total current is 5 A, how much flows through R1?

Accepted Answer

4 A

Answer

I1 = I_total × R2/(R1+R2) = 5 × 40/50 = 4 A.

Question 5

Which of the following best describes a short circuit condition in a DC network?

Accepted Answer

Zero resistance path between two nodes

Answer

A short circuit provides a near-zero resistance path, causing maximum (potentially damaging) current flow.

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