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JAMB Physics 2024 Paper

Question : 109

Total: 125

Solution:

Concept:

For capacitors in series, the reciprocal of the total capacitance is equal to the sum of the reciprocals of the individual capacitances.

Explanation:

The formula for series capacitance is:

\frac{1}{C_T} = \frac{1}{C_1} + \frac{1}{C_2}

Given that

C_1 = 0.0003\,\mu F

and

C_2 = 0.0006\,\mu F

\frac{1}{C_T} = \frac{1}{0.0003} + \frac{1}{0.0006}

Notice that

\frac{1}{0.0003} = \frac{2}{0.0006}

, so:

\frac{1}{C_T} = \frac{2}{0.0006} + \frac{1}{0.0006} = \frac{3}{0.0006}

Therefore:

C_T = \frac{0.0006}{3} = 0.0002\,\mu F

This value matches option B.

Answer:

0.0002\,\mu F

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