The capacitance of a capacitor is inversely proportional to which quantity?

  1. q (Charge on conductor)
  2. d (Distance between two parallel plate)
  3. A (Area of conductor)
  4. ϵ (Electric permittivity)

Answer (Detailed Solution Below)

Option 2 : d (Distance between two parallel plate)
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Detailed Solution

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CONCEPT:

  • Capacitance is defined as the ability to store charge in a conductor.

q ∝  V

q = C × V

Where q = charge on the conductor; V = Voltage; C = capacitance

  • The SI unit of capacitance is the farad (F)

The capacitance of a parallel plate capacitor is given by:

​C = (ϵ × A)/d

where d = distance between parallel plate; A = area of parallel plate; ϵ = electric permittivity

EXPLANATION:

C ∝ q 

C ∝ 1/V

C ∝ A

C ∝ ϵ 

C ∝ 1/d

Hence option 2 is correct.

Additional Information

  • The capacitor in series: Two or more capacitors are connected in series if they contain the same quantity of charge

1/CS = 1/C1 +1/C2

  • The capacitor in parallel: Two or more capacitors are connected in parallel if they contain the same voltage.

CP = C1 + C2 

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