A 24 V source powers two parallel resistors 8 Ω and 4 Ω. What is the source current?

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Prepare for the Electrical Academy Level 1 Test. Study with multiple choice questions, flashcards, and detailed explanations. Assess your knowledge and ace the exam!

Multiple Choice

A 24 V source powers two parallel resistors 8 Ω and 4 Ω. What is the source current?

Explanation:
In parallel, the full source voltage appears across each resistor, and the total current is the sum of the currents through each branch. Compute the branch currents: 24 V across 8 Ω gives 3 A, and 24 V across 4 Ω gives 6 A. Add them: 3 A + 6 A = 9 A. You can also check by finding the equivalent resistance of the parallel combination: 1/R_eq = 1/8 + 1/4 = 3/8, so R_eq = 8/3 Ω. Then the source current is 24 V / (8/3 Ω) = 9 A. Therefore, the source current is 9 A.

In parallel, the full source voltage appears across each resistor, and the total current is the sum of the currents through each branch.

Compute the branch currents: 24 V across 8 Ω gives 3 A, and 24 V across 4 Ω gives 6 A. Add them: 3 A + 6 A = 9 A.

You can also check by finding the equivalent resistance of the parallel combination: 1/R_eq = 1/8 + 1/4 = 3/8, so R_eq = 8/3 Ω. Then the source current is 24 V / (8/3 Ω) = 9 A.

Therefore, the source current is 9 A.

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