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Assertion : The capacitive reactance lim...

Assertion : The capacitive reactance limits the amplitude of the current in a purely capacitive circuit.
Reason : Capacitive reactance is proportional to the frequency and the capacitance.

A

If both assertion ans reason are true ans reaason is the correct explanation of assertion.

B

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

C

If assertion istrue but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "the capacitive reactance limits the amplitude of the current in a purely capacitive circuit." - In a purely capacitive circuit, the current (I) is related to the voltage (V) and the capacitive reactance (Xc) by the formula: \[ I = \frac{V}{X_c} \] - Since Xc is a measure of how much the capacitor resists the flow of current, a higher capacitive reactance will result in a lower current amplitude. Therefore, this assertion is **true**. 2. **Understanding the Reason**: - The reason states that "capacitive reactance is proportional to the frequency and the capacitance." - Capacitive reactance (Xc) is given by the formula: \[ X_c = \frac{1}{\omega C} = \frac{1}{2\pi f C} \] - From this formula, we can see that Xc is **inversely** proportional to both the frequency (f) and the capacitance (C). This means that as frequency increases, capacitive reactance decreases, and vice versa. Therefore, this reason is **false**. 3. **Conclusion**: - Since the assertion is true and the reason is false, we conclude that the correct answer is that the assertion is true but the reason is false. ### Final Answer: - The assertion is true, but the reason is false.

To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "the capacitive reactance limits the amplitude of the current in a purely capacitive circuit." - In a purely capacitive circuit, the current (I) is related to the voltage (V) and the capacitive reactance (Xc) by the formula: \[ ...
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