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STATEMENT-1: The capacitance of the capa...

STATEMENT-1: The capacitance of the capacitor remains constant irrespective of the charge present on it. because
STATEMENT-2: Capacitance depends on the size and the shape of the capacitor and also on the surrounding medium.

A

Statement-1 is True , Statement-2 is True , Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True , Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True , Statement-2 is False

D

Statement-1 is False , Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we need to break down the concepts of capacitance and how it relates to charge and the physical characteristics of a capacitor. ### Step-by-Step Solution: 1. **Understanding Capacitance**: - Capacitance (C) is defined as the ability of a capacitor to store charge (Q) per unit voltage (V). Mathematically, it is expressed as: \[ C = \frac{Q}{V} \] - This means that for a given charge and voltage, capacitance is a constant value. 2. **Dependence on Physical Characteristics**: - The capacitance of a capacitor depends on its physical characteristics, specifically: - The area (A) of the plates: Larger plates can store more charge. - The distance (d) between the plates: Closer plates can store more charge. - The permittivity (\(\epsilon\)) of the medium between the plates: Different materials can affect the ability to store charge. - The formula for the capacitance of a parallel plate capacitor is: \[ C = \frac{\epsilon A}{d} \] - This shows that capacitance is determined by the size and shape of the capacitor and the surrounding medium. 3. **Independence from Charge**: - The charge (Q) on a capacitor can change when a voltage (V) is applied, but the capacitance (C) itself remains constant as long as the physical characteristics (A, d, and \(\epsilon\)) do not change. - Therefore, the capacitance does not depend on the amount of charge stored on the capacitor. 4. **Conclusion**: - Statement 1 is true: The capacitance of the capacitor remains constant irrespective of the charge present on it. - Statement 2 is also true: Capacitance depends on the size and shape of the capacitor and the surrounding medium. - Statement 2 correctly explains Statement 1. ### Final Answer: - Both statements are true, and Statement 2 is the correct explanation for Statement 1. ---
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