Charging and Discharging of Capacitance and RC circuit PYQs: JEE Mains Physics

Showing 1–14 of 14 questions

1. 1. The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is _________ A.
   2026 Easy
2. 2. The stored charge in the capacitor in steady state of the following circuit is ________ \(\mu\)C.
   2026 Medium
3. 3. Under steady state condition the potential difference across the capacitor in the circuit is _______ V.
   2026 Medium
4. 4. At steady state the charge on the capacitor, as shown in the circuit below, is _________ \(\mu \mathrm{C}\).
   
   2025 Medium
5. 5. Identify the valid statements relevant to the given circuit at the instant when the key is closed.
   
   A. There will be no current through resistor \(R\).
   B. There will be maximum current in the connecting wires.
   C. Potential difference between the capacitor plates A and B is minimum.
   D. Charge on the capacitor plates is minimum.
   Choose the correct answer from the options given below: 2025 Easy
6. 6. The net current flowing in the given circuit is_______ A.
   2025 Medium
7. 7. The electric field between the two parallel plates of a capacitor of \(1.5 \mu \mathrm{F}\) capacitance drops to one third of its initial value in \(6.6 \mu \mathrm{s}\) when the plates are connected by a thin wire. The resistance of this wire is _______ \(\Omega\). (Given, \(\log 3=1.1)\) 2024 Hard
8. 8. A capacitor is discharging through a resistor \(R\). Consider in time \(t _{1}\), the energy stored in the capacitor reduces to half of its initial value and in time \(t_{2}\), the charge stored reduces to one eighth of its initial value. The ratio \(t_{1} / t_{2}\) will be ................ 2022 Hard
9. 9. A capacitor is connected to a \(20\, {V}\) battery through a resistance of \(10\, \Omega .\) It is found that the potential difference across the capacitor rises to \(2\, {V}\) in \(1\, \mu {s}\). The capacitance of the capacitor is \(....\,\mu {F}\) Given : \(\ln \left(\frac{10}{9}\right)=0.105\) 2021 Hard
10. 10. A capacitor of capacitance \(C=1\, \mu \,{F}\) is suddenly connected to a battery of \(100\, volt\) through a resistance \({R}=100\, \Omega\). The time taken for the capacitor to be charged to get \(50 \,{V}\) is \(....\,\times \,10^{-4}\,s.\) [Take \(\ln 2=0.69]\)
    2021 Medium
11. 11. The circuit shown in the figure consists of a charged capacitor of capacity \(3\, \mu F\) and a charge of \(30\, \mu C\). At time \(t =0,\) when the key is closed, the value of current flowing through the \(5\, M \Omega\) resistor is \('x'\) \(\mu-A\). The value of \('x'\) to the nearest integer is .........
    2021 Medium
12. 12. The material filled between the plates of a parallel plate capacitor has resistivity \(200 \Omega \, {m}\). The value of capacitance of the capacitor is \(2\, {pF}\). If a potential difference of \(40 \,{V}\) is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is (given the value of relative permitivity of material is \(50\) ) 2021 Hard
13. 13. In the following circuit, the switch \(S\)  is closed at \(t = 0.\)  The charge on the capacitor  \(C_1\)  as a function of time will be given by \(\left( {{C_{eq}}\, = {\kern 1pt} \,\frac{{{C_1}{C_2}}}{{{C_1} + {C_2}}}} \right).\)
    2018 Hard
14. 14. In an \(LCR \) circuit as shown below both switches are open initially. Now switch \(S_1\) is closed, \(S_2\) kept open. ( \(q\) is charge on the capacitor and \(\tau = RC\) is Capacitive time constant). Which of the following statement is correct?
    2013 Medium

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