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The resultant capacitance in the fig above is

Physics
JAMB 1995

The resultant capacitance in the fig above is

  • A. 15.0µF
  • B. 9.8µF
  • C. 1.3µF
  • D. 0.8µF
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Correct Answer: Option D
Explanation

Capacitors in parallel = 4\(\mu\)f + 2 \(\mu\) f = 6\(\mu\) f

Capacitors in series =\(\frac{1}{C_{eff}}\) = \(\frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + \frac{1}{C_4}\)

\(\frac{1}{C_{eff}}\)  = \(\frac{1}{2} + \frac{1}{3} + \frac{1}{6} + \frac{1}{4}\) = \(\frac{6 + 4 + 2 + 3}{12}\)

\(\frac{1}{C_{eff}}\) = \(\frac{15}{12}\)

C\(_{eff}\) = \(\frac{12}{15}\) = 0.8\(\mu\) f

 


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