Physics Electrostatics ETEA 2011
PMDC Verified Question 127 of 131
Q.81 The capacitor which charges and discharges quickly will have
A
Small value of RC
B
Large value of RC
C
Large value of time constant
D
None of these
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Small value of RC
1. Concept:

The rate at which a capacitor charges or discharges in a circuit depends on its time constant, defined by the product of Resistance and Capacitance.

2. Formula:

$$ \tau = RC $$

3. Solution:

  • A smaller time constant (\( \tau \)) indicates that the capacitor will reach its maximum charge (or discharge to zero) in a shorter period of time. Therefore, a quickly discharging circuit must have a small value of \( RC \).


4. Why other options are incorrect:

A large value of \( RC \) (which is the same as a large time constant) would cause the capacitor to charge and discharge very slowly.

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