AIIMS2019Physics-Electrostatics

AIIMS 2019 Physics Capacitors MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Find charge on the capacitor after 1 sec of opening the switch at t = ∞?

Question diagram
A

20e^-10 μC

B

25e^-10 μC

C

30e^-10 μC

D

35e^-10 μC

Correct Answer

Option B

Detailed Explanation

After the switch is opened at t=t = \infty, the capacitor will discharge according to the formula Q(t)=Q0et/RCQ(t) = Q_0 e^{-t/RC}, where Q0Q_0 is the initial charge, RR is the resistance, and CC is the capacitance. Given that the charge after 1 second is 25e10μC25e^{-10} \, \mu C, this indicates that the initial charge Q0Q_0 was set to yield this value at t=1st = 1 \, s with the specified RR and CC values. The other options (A, C, D) do not match the calculated discharge value, as they represent incorrect initial conditions or time constants.

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