Home Physics Electrostatics Potential & Capacitance Mix In the circuit shown in figure, the capacito…
Physics Electrostatics Potential & Capacitance Mix Matrix Match Questions
Published on: September 12, 2026

In the circuit shown in figure, the capacitor is initially uncharged. At t = 0, the switch is closed at position (1) and remain closed for long time. Then at t =t', switch is shifted to position (2).

Column-I

Column-II

(i) As the capacitor

charges from t = 0 to t =

t'

[A] Current in the

circuit falls

exponentially

(ii) As the capacitor

discharge i.e. for t > t'

[B] Current in the

circuit grows

exponentially

(iii) Maximum current

in the circuit depends

on

[C] R, C

(iv) Time to achieve

50% charging of the

capacitor depends on

[D] R

Correct Matrix Matching

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Text Solution

Verified by Experts
The correct answer is:
A
Step 1: When the switch is closed at position (1), the capacitor begins to charge through the resistor R. The current I in the circuit during this charging phase can be described by the equation:
$$ I(t) = \frac{V}{R} e^{-\frac{t}{RC}} $$
where V is the voltage across the capacitor. As the capacitor charges, the current decreases exponentially, which aligns with the option [A].
Step 2: After a long time, the capacitor is fully charged, and at t = t', when the switch is moved to position (2), the capacitor starts to discharge through the second resistor. The initial current during discharge is determined by the charge stored in the capacitor at that moment and also decreases exponentially.
Step 3: Maximum current depends on the capacitor charge and can be influenced by the resistor values and capacitance (R, C) as indicated in option [C].
Step 4: The time to achieve 50% charging of the capacitor is also influenced by the resistance (R) according to the time constant, which shows its significance in option [D].
However, focusing purely on the current behavior during charging, the correct option when considering the current falls significantly is option [A]. Therefore, A.

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