JEE Mains · Physics · STD 12 - Electric potential and capacitance
- JEE Mains 2024
- Hard
- Numerical
In an electrical circuit drawn below the amount of charge stored in the capacitor is _______ \(\mu \mathrm{C}\).

Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(60\)
Step-by-step Solution
Detailed explanation
In steady state there will be no current in branch of capacitor, so no voltage drop across \(\mathrm{R}_2=5 \Omega\)
\(\mathrm{I}_2=0\)
\(\mathrm{I}_1=\mathrm{I}_3=\frac{10}{4+6}=1 \mathrm{~A}\)
\(\mathrm{~V}_{\mathrm{R}_3}=\mathrm{V}_{\mathrm{c}}+\mathrm{V}_{\mathrm{R}_2} \quad \mathrm{~V}_{\mathrm{R}_2}=0\)
\(\mathrm{I}_3 \mathrm{R}_3=\mathrm{V}_{\mathrm{c}}\)
\(\mathrm{V}_{\mathrm{c}}=1 \times 6=6 \mathrm{volt}\)
\(\mathrm{q}_{\mathrm{c}}=\mathrm{CV}_{\mathrm{c}}=10 \times 6=60 \mu \mathrm{C}\)

\(\mathrm{I}_2=0\)
\(\mathrm{I}_1=\mathrm{I}_3=\frac{10}{4+6}=1 \mathrm{~A}\)
\(\mathrm{~V}_{\mathrm{R}_3}=\mathrm{V}_{\mathrm{c}}+\mathrm{V}_{\mathrm{R}_2} \quad \mathrm{~V}_{\mathrm{R}_2}=0\)
\(\mathrm{I}_3 \mathrm{R}_3=\mathrm{V}_{\mathrm{c}}\)
\(\mathrm{V}_{\mathrm{c}}=1 \times 6=6 \mathrm{volt}\)
\(\mathrm{q}_{\mathrm{c}}=\mathrm{CV}_{\mathrm{c}}=10 \times 6=60 \mu \mathrm{C}\)

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