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On decreasing the distance between the p...

On decreasing the distance between the plates of a parallel plate capacitor, its capacitance :

A

remains unaffected

B

decreases

C

first increases then decreases

D

increases

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The correct Answer is:
To solve the question regarding the effect of decreasing the distance between the plates of a parallel plate capacitor on its capacitance, we can follow these steps: ### Step 1: Understand the formula for capacitance The capacitance \( C \) of a parallel plate capacitor is given by the formula: \[ C = \frac{\varepsilon A}{d} \] where: - \( C \) is the capacitance, - \( \varepsilon \) is the permittivity of the dielectric material between the plates, - \( A \) is the area of one of the plates, - \( d \) is the distance between the plates. ### Step 2: Analyze the effect of decreasing distance \( d \) From the formula, we can see that capacitance \( C \) is inversely proportional to the distance \( d \) between the plates. This means that as \( d \) decreases, the capacitance \( C \) will increase. ### Step 3: Conclusion Therefore, if the distance \( d \) between the plates is decreased, the capacitance \( C \) will increase. ### Final Answer The capacitance of a parallel plate capacitor increases when the distance between the plates is decreased. ---
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