In a parallel plate capacitor, if the distance between the plates is increased,

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Question: In a parallel plate capacitor, if the distance between the plates is increased, what happens to the capacitance? (2022)

Options:

Correct Answer: It decreases

Exam Year: 2022

Solution:

The capacitance (C) of a parallel plate capacitor is inversely proportional to the distance (d) between the plates. If d increases, C decreases.

In a parallel plate capacitor, if the distance between the plates is increased, what happens to the capacitance? (2022)

In a parallel plate capacitor, if the distance between the plates is increased, what happens to the capacitance? (2022)

Step 1: Understand what a parallel plate capacitor is. It consists of two plates that store electric charge.
Step 2: Know that capacitance (C) is a measure of how much charge a capacitor can store.
Step 3: Learn the formula for capacitance in a parallel plate capacitor: C = ε * (A / d), where ε is the permittivity of the material between the plates, A is the area of the plates, and d is the distance between the plates.
Step 4: Notice that in the formula, capacitance (C) is divided by the distance (d). This means that as d increases, the value of C decreases.
Step 5: Conclude that if the distance between the plates is increased, the capacitance of the capacitor decreases.

Capacitance and Distance Relationship – The capacitance of a parallel plate capacitor is inversely proportional to the distance between the plates, meaning that as the distance increases, the capacitance decreases.