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The total capacitance of the circuit above is?

Physics
JAMB 1980

The total capacitance of the circuit above is?

  • A. 0.25mF
  • B. 0.50mF
  • C. 0.75mF
  • D. 1.25mF
  • E. 1.50mF
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Correct Answer: Option E
Explanation

 CTotal in parralel = C1 + C2 + C3
 CTotal = 2 + 2 + 2 → 6

C Total in series = 1 / C\(_1\) + 1 / C\(_2\) 

1 / C\(_T\) = 1/2 + 1/6

1 / C\(_T\) = \(\frac{4}{6}\)

cross multiply

C\(_T\) =  \(\frac{3}{2}\) or 1.5mF


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