Question

Identify the correct statement(s) among the following.
A. In a d.c. circuit, a capacitor can conduct but not an inductor.
B. In a d.c. circuit, an inductor can conduct but not a capacitor.
C. In a d.c. circuit, both the inductor and capacitor cannot conduct.
D. An inductor has infinite resistance in a d.c. circuit.

Choose the correct answer from the options given below:

• A. A and C only
• B. B and D only
• C. B only
• D. A, C and D only

Hint:

In d.c., \(X_L=0\) and \(X_C\to\infty\).

Answer 1

The Correct Option is C

Step 1: Use reactance at zero frequency.
For d.c., \(f=0\). So \(X_L = 2\pi f L = 0\) and \(X_C = \dfrac{1}{2\pi f C}\) is infinite.

Step 2: Meaning.
Zero reactance means the inductor lets the d.c. through, and only a small wire resistance remains. Infinite reactance means the capacitor carries no steady d.c.

Step 3: Read the statements.
A has the roles swapped, so it is wrong. B is right. C is wrong because the inductor conducts. D is wrong because the reactance of an inductor is zero in d.c.

Step 4: Answer.
Just B is right, printed as option 3.

Final Answer:
Only B holds, option 3. \[ \boxed{\text{B only}} \]