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 platesCorrect Option: Option DCapacitance: It is the ratio of the amount of electric charge stored in a conductor to the potential difference.Parallel plate capacitor: It is an arrangement of 2 metal plates connected in a parallel way.Capacitance in a parallel plate capacitor (C) is inversely proportional to the distance between the two metal plates. The capacitance is given as $C=\frac{{\epsilon }_{0}A}{d}$, where ${\epsilon }_{0}=Electrostaticcons\mathrm{tan}t,A=crosssectionareaofplates,d=dis\mathrm{tan}cebetweenplates$Therefore to decrease the capacitance of the parallel plate capacitor, we need to increase the distance between the charged plates.Incorrect Options:Option AThe capacitance of a parallel-plate capacitor does not depend on the charge stored in the capacitor. So, this option is incorrect.Option BThe capacitance of a parallel-plate capacitor does not depend on the charge stored in the capacitor. So, this option is incorrect.Option CCapacitance in a parallel plate capacitor is inversely proportional to the distance between the two metal plates and is given as $C=\frac{{\epsilon }_{0}A}{d}$. Therefore when the gap decreases, the capacitance will increase. So, this option is incorrect.Hence, option D is correct.

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