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Using the diagram above, calculate the effective capacitance of the circuit

Physics
WAEC 1999

Using the diagram above, calculate the effective capacitance of the circuit

  • A. 1.56μf
  • B. 3.00μF
  • C. 3.71μF
  • D. 9.00μF
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Correct Answer: Option A
Explanation

\(C_1\) = 3μF + 4μF = 7μF ( capacitance in parallel )

\(\frac{1}{ C} = \frac{ 1}{2} + \frac{1}{7} = \frac{ 7 + 2 }{14} = \frac{9}{14}\)

∴ C =  \(\frac{14}{9}\) = 1.56μF


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