In a capacitor, if a charge of 1 coulomb accumulates on each plate when a potential difference of 1 volt is applied across the plates, then the capacitance will be _______.

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SSC JE Electrical 06 Jun 2024 Shift 2 Official Paper - 1
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  1. 1 picofarad
  2. 1 farad
  3. 1 microfarad
  4. 1 nano-farad

Answer (Detailed Solution Below)

Option 2 : 1 farad
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Detailed Solution

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Concept

The capacitance of a parallel plate capacitor is given by:

\(C={Q\over V}\)

where, C = Capacitance

Q = Charge

V = Voltage

Calculation

Given, Q = 1 coulomb

V = 1 volt

\(C={1\over 1}= 1\space Farad\)

Additional Information 
Another formula for parallel plate capacitor is:

\(C={ϵ_oA\over d}\)

where, ϵo = Permittivity of free space

A = Area of parallel plate capacitor

d = Distance between parallel plate capacitor

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