Physics Electrostatics PMDC 2020
PMDC Verified Question 98 of 131
Q.111 Ohm time's farad is equivalent to:
A
Time
B
Charge
C
Distance
D
Capacitor
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Time
1. Concept:

In RC circuit theory, multiplying the unit of resistance by the unit of capacitance yields the time constant.

2. Formula:

$$ \tau = R \times C $$

3. Solution:

  • Let's prove this dimensionally. Ohm (Resistance) = Volts / Amperes = \( V / (C/s) = V \cdot s / C \).


  • Farad (Capacitance) = Coulombs / Volts = \( C / V \).


  • Multiply them: \( (V \cdot s / C) \times (C / V) \).


  • Volts and Coulombs mutually cancel, leaving only seconds (s), which is the physical dimension of Time.


4. Why other options are incorrect:

Distance and charge have entirely different base dimensional structures. Capacitor is a component, not a unit.

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