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JAMB Physics 2017 Paper

Question : 12

Total: 49

Solution:

Concept:

For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of each resistance.

Explanation:

Each resistor has resistance

R = 3\, \Omega

Since all three are in parallel, use the parallel formula:

\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}

Substitute the values:

\frac{1}{R_{\text{eq}}} = \frac{1}{3} + \frac{1}{3} + \frac{1}{3}

Add the fractions:

\frac{1}{R_{\text{eq}}} = \frac{3}{3} = 1

Therefore:

R_{\text{eq}} = \frac{1}{1} = 1\, \Omega

This matches option A.

Answer:

1\, \Omega

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