Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Find how the voltage across the capacitor C varies with time t (Fig.) after the shorting of the switch Sw at the moment t = 0.
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: After the switch is shorted, the capacitor discharges through the resistor R. The voltage across the capacitor as a function of time can be described by the equation:
$$ V(t) = V_0 e^{-\frac{t}{RC}} $$
where V_0 is the initial voltage across the capacitor, R is the resistance, and C is the capacitance.
Step 2: As time progresses, the exponential term causes the voltage to decrease exponentially. Therefore, the correct answer, showing the decay of voltage over time after the switch is shorted, is option C.
$$ V(t) = V_0 e^{-\frac{t}{RC}} $$
where V_0 is the initial voltage across the capacitor, R is the resistance, and C is the capacitance.
Step 2: As time progresses, the exponential term causes the voltage to decrease exponentially. Therefore, the correct answer, showing the decay of voltage over time after the switch is shorted, is option C.
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