Question:
A coil has inductance $2 \text{ H}$. The ratio of its reactance when it is connected first to an a.c. source and then to a d.c. source is
A coil has inductance $2 \text{ H}$. The ratio of its reactance when it is connected first to an a.c. source and then to a d.c. source is
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Inductors block AC (high reactance) but allow DC (zero reactance).
Updated On: Apr 26, 2026
- -1
- zero
- $\infty$
- +1
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Inductive reactance $X_L = 2\pi f L$, where $f$ is the frequency.
Step 2: Analysis
For AC source, $f>0$, so $X_{L(AC)} = 2\pi f L$.
For DC source, $f = 0$, so $X_{L(DC)} = 2\pi(0)L = 0$.
Step 3: Calculation
Ratio $= \frac{X_{L(AC)}}{X_{L(DC)}} = \frac{2\pi f L}{0} = \infty$.
Step 4: Conclusion
Hence, the ratio is infinity.
Final Answer: (C)
Inductive reactance $X_L = 2\pi f L$, where $f$ is the frequency.
Step 2: Analysis
For AC source, $f>0$, so $X_{L(AC)} = 2\pi f L$.
For DC source, $f = 0$, so $X_{L(DC)} = 2\pi(0)L = 0$.
Step 3: Calculation
Ratio $= \frac{X_{L(AC)}}{X_{L(DC)}} = \frac{2\pi f L}{0} = \infty$.
Step 4: Conclusion
Hence, the ratio is infinity.
Final Answer: (C)
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