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Assertion : The inductive reactance limi...

Assertion : The inductive reactance limits amplitude of the current in a purely inductive circuit.
Reason : The inductive reactance is independent of the frequency of the current.

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 question, we need to analyze both the assertion and the reason provided in the statement. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "The inductive reactance limits the amplitude of the current in a purely inductive circuit." - In a purely inductive circuit, the current (I₀) is given by the formula: \[ I_0 = \frac{V_0}{X_L} \] where \( V_0 \) is the voltage and \( X_L \) is the inductive reactance. 2. **Inductive Reactance**: - The inductive reactance \( X_L \) is defined as: \[ X_L = \omega L = 2\pi f L \] where \( \omega \) is the angular frequency and \( L \) is the inductance. - From the formula, we can see that \( X_L \) is directly proportional to the frequency \( f \). 3. **Relationship Between Inductive Reactance and Current**: - Since \( I_0 \) is inversely proportional to \( X_L \), if \( X_L \) increases, \( I_0 \) decreases, and vice versa. - Therefore, the assertion that "the inductive reactance limits the amplitude of the current" is true because an increase in inductive reactance leads to a decrease in current amplitude. 4. **Understanding the Reason**: - The reason states that "The inductive reactance is independent of the frequency of the current." - However, from the equation \( X_L = 2\pi f L \), we can see that \( X_L \) is dependent on the frequency \( f \). Therefore, this statement is false. 5. **Conclusion**: - The assertion is true, but the reason is false. Thus, the correct answer to the question is that the assertion is true and the reason is false. ### Final Answer: - Assertion: True - Reason: False - Therefore, the correct option is C.

To solve the question, we need to analyze both the assertion and the reason provided in the statement. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "The inductive reactance limits the amplitude of the current in a purely inductive circuit." - In a purely inductive circuit, the current (I₀) is given by the formula: \[ ...
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