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Assertion: Increasing the charge on the ...

Assertion: Increasing the charge on the plates of a capacitor means increasing the capacitance.
Resion : Capacitance is directly proportinal to charge.

A

If both assertion and reason are ture and reason is the correct explanation of assertion.

B

If both assertin and reason are ture but reason is not the correct explanation of assertion .

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and reason given regarding the relationship between charge, capacitance, 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). The formula for capacitance is: \[ C = \frac{Q}{V} \] - This means that capacitance is determined by the physical characteristics of the capacitor, such as the area of the plates (A), the distance between the plates (d), and the dielectric material between the plates. 2. **Assertion Analysis**: - The assertion states that "increasing the charge on the plates of a capacitor means increasing the capacitance." - According to the formula \( C = \frac{Q}{V} \), if we increase the charge (Q) while keeping the voltage (V) constant, capacitance (C) does not change because it is a property of the capacitor itself. 3. **Reason Analysis**: - The reason states that "capacitance is directly proportional to charge." - This statement is incorrect. Capacitance is not directly proportional to charge; it is a function of the physical characteristics of the capacitor. Charge and voltage are related, but capacitance remains constant for a given capacitor under fixed physical conditions. 4. **Conclusion**: - Since both the assertion and the reason are incorrect, we conclude that: - Assertion: Incorrect - Reason: Incorrect - Therefore, the correct answer is that both the assertion and reason are wrong. ### Final Answer: Both the assertion and reason are incorrect.

To solve the question, we need to analyze the assertion and reason given regarding the relationship between charge, capacitance, 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). The formula for capacitance is: \[ C = \frac{Q}{V} ...
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