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Question

How can we decrease the capacitance of a parallel-plate capacitor?


A

Increasing the stored charge in the capacitor

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B

Decreasing the stored charge in the capacitor

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C

Decreasing the gap between the charged plates

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D

Increasing the gap between the charged plates

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Solution

The correct option is D

Increasing the gap between the charged plates


Correct Option: Option D

  1. Capacitance: It is the ratio of the amount of electric charge stored in a conductor to the potential difference.
  2. Parallel plate capacitor: It is an arrangement of 2 metal plates connected in a parallel way.
  3. Capacitance in a parallel plate capacitor (C) is inversely proportional to the distance between the two metal plates. The capacitance is given as C=ε0Ad, where ε0=Electrostaticconstant,A=crosssectionareaofplates,d=distancebetweenplates
  4. Therefore to decrease the capacitance of the parallel plate capacitor, we need to increase the distance between the charged plates.

Incorrect Options:

Option A

The capacitance of a parallel-plate capacitor does not depend on the charge stored in the capacitor. So, this option is incorrect.

Option B

The capacitance of a parallel-plate capacitor does not depend on the charge stored in the capacitor. So, this option is incorrect.

Option C

Capacitance in a parallel plate capacitor is inversely proportional to the distance between the two metal plates and is given as C=ε0Ad. Therefore when the gap decreases, the capacitance will increase. So, this option is incorrect.

Hence, option D is correct.


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