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Find inductive reactance of the inductor...

Find inductive reactance of the inductor when it is connected in D.C. circuit.

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To find the inductive reactance of an inductor when it is connected to a DC circuit, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Inductive Reactance**: - Inductive reactance (X_L) is given by the formula: \[ X_L = \omega L \] where \( \omega \) is the angular frequency and \( L \) is the inductance of the inductor. 2. **Identify the Frequency in a DC Circuit**: - In a DC circuit, the current is constant over time, which means that the frequency (f) is zero. The relationship between angular frequency and frequency is: \[ \omega = 2\pi f \] 3. **Substitute the Frequency into the Reactance Formula**: - Since the frequency \( f = 0 \) in a DC circuit, we can substitute this into the equation for angular frequency: \[ \omega = 2\pi \times 0 = 0 \] 4. **Calculate the Inductive Reactance**: - Now substituting \( \omega = 0 \) into the inductive reactance formula: \[ X_L = 0 \times L = 0 \] 5. **Conclusion**: - Therefore, the inductive reactance of the inductor when connected to a DC circuit is: \[ X_L = 0 \, \Omega \] ### Final Answer: The inductive reactance of the inductor when it is connected in a DC circuit is \( 0 \, \Omega \).
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Find out the inductance of an inductor which should be connected in series with a capacitor of 5muF ,a resistance of 10Omega and an ac source of 50 Hz so that the power factor of the circuit is 1.

Assertion: Inductive reactance of an inductor in DC circuit is zero. Reason: Angular frequency of DC circuit is zero.

Knowledge Check

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