COMEDK · Physics · 18. Capacitance
The figure shows a network of five capacitors connected to a 20 V battery. Calculate the charge acquired by each 10 \(\mu\)F capacitor.
- A \(4 \times 10^{-4} \mathrm{C}\)
- B \(6 \times 10^{-4} \mathrm{C}\)
- C \(2 \times 10^{-4} \mathrm{C}\)
- D \(1 \times 10^{-4} \mathrm{C}\)
Answer & Solution
Correct Answer
(D) \(1 \times 10^{-4} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
Left parallel pair: \(C_{LT} = 15 + 5 = 20\ \mu F\) Right parallel pair: \(C_{TR} = 10 + 10 = 20\ \mu F\) \(C_{LT}\) and \(C_{TR}\) are in series across 20 V. Since both are equal, voltage divides equally: \(V_{TR} = \dfrac{20}{2} = 10\) V across each \(10\ \mu F\) capacitor.…
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