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Using the circuit diagram above. Calculate the total charge in the circuit

Physics
WAEC 2011

Using the circuit diagram above. Calculate the total charge in the circuit
  • A. 80\(\mu C\)
  • B. 35\(\mu C\)
  • C. 20\(\mu C\)
  • D. 16\(\mu C\)
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Correct Answer: Option D
Explanation
C - \(C_1 + C_2 = 2 + 6 = \mu F\)

\(\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_1} + \frac{1}{C_2} = \frac{1}{8} + \frac{1}{2}\)

C = \(\frac{8}{5 \mu F}\)

Q = CV

= \(\frac{8}{5} \times 10 = 16\mu C\)

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