WBJEE · Physics · Capacitance
What are the charges stored in the \(1 \mu \mathrm{~F}\) and \(2 \mu \mathrm{~F}\) capacitors in the circuit as shown in figure once the current (I) become steady?
- A \(8 \mu \mathrm{C}\) and \(4 \mu \mathrm{C}\)
- B \(4 \mu \mathrm{C}\) and \(8 \mu \mathrm{C}\)
- C \(3 \mu \mathrm{C}\) and \(6 \mu \mathrm{C}\)
- D \(6 \mu \mathrm{C}\) and \(3 \mu \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(4 \mu \mathrm{C}\) and \(8 \mu \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & I=\frac{6}{(1+2) \times 10^3}=2 \times 10^{-3} \\ & V=I R=2 \times 10^{-3} \times 2 \times 10^3=4 V \\ & q_1=1 \times 4=4 \mu C, q_2=2 \times 4=8 \mu C\end{aligned}\)
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