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  • The charge on the capacitor in steady state in the circuit shown (Figure) is <img alt="" src="https://cdn.entrance360.com/media/uploads/2023/08/20/f52_q152.PNG" style="height:110px; width

The charge on the capacitor in steady state in the circuit shown (Figure) is

Option: 1

0.5 \mu \mathrm{C}


Option: 2

1 \mu \mathrm{C}


Option: 3

2 \mu \mathrm{C}


Option: 4

4 \mu \mathrm{C}


Answers (1)

best_answer

\begin{aligned} &\mathrm{ I_1=\frac{5}{2+3}=1 \mathrm{~A} }\\ &\mathrm{ I_2=\frac{5}{3+3}=\frac{5}{6} \mathrm{~A} }\\ &\mathrm{ V_A-0=3 I_1 \Rightarrow V_A=3 \mathrm{~V} }\\ &\mathrm{ V_B-0=3 I_2 \Rightarrow V_B=2.5 \mathrm{~V} }\\ \end{aligned}


Potential difference across capacitor is

\begin{aligned} &\mathrm{ 3 \mathrm{~V}-2.5 \mathrm{~V}=0.5 \mathrm{~V}=1 / 2 \mathrm{~V} }\\ &\mathrm{ q=C V=2 \times 1 / 2=1 \mu \mathrm{C}} \end{aligned}

Posted by

Gautam harsolia

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