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Two capacitors of 0.0003μF and 0.0006μF are connected in series, find their combined capacitance.

Physics
JAMB 2024

Two capacitors of 0.0003μF and 0.0006μF are connected in series, find their combined capacitance.

  • A. 0.0009μF
  • B. 0.0002μF
  • C. 0.0005μF
  • D. 0.0001μF
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Correct Answer: Option B
Explanation

Combined capacitance in series = \(\frac{1}{C_T}\) = \(\frac{1}{C_1}\) +  \(\frac{1}{C_2}\) 

The two capacitors have capacitance of 0.0003μF and 0.0006μF respectively

\(\frac{1}{C_T}\) = \(\frac{1}{0.0003}\) +  \(\frac{1}{0.0006}\)  = \(\frac{0.0002 + 0.0001}{0.0006}\)

\(\frac{1}{C_T}\) = \(\frac{0.0003}{0.0006}\)

C\(_T\) = 0.0002μF.

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts