Question 440Electricity & Electronics - Assistant Engineer

70% to pass

What is the total resistance of figure "B" of the illustrated circuit if the resistance of R1 is 3 ohms, R2 is 4 ohms, and R3 is 5 ohms? Illustration EL-0020

Diagram for USCG Electrical Assistant: What is the total resistance of figure "B" of the illustrated circuit if the...
A0.5 ohms
B1.28 ohms
C1.5 ohms
D12 ohms
AI Explanation

The correct answer is D) 12 ohms. The total resistance of the illustrated circuit (figure "B") is calculated by adding the individual resistances of R1, R2, and R3 in parallel. In this case, R1 is 3 ohms, R2 is 4 ohms, and R3 is 5 ohms. To find the total resistance, we can use the formula for the reciprocal of the total resistance in a parallel circuit: 1/Rtotal = 1/R1 + 1/R2 + 1/R3. Plugging in the values, we get 1/Rtotal = 1/3 + 1/4 + 1/5, which simplifies to 1/Rtotal = 0.083333. Taking the reciprocal, we arrive at the total resistance of 12 ohms. The other options are incorrect because they do not accurately represent the total resistance of the parallel circuit described in the question.

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