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: Understanding the concept.
For steady d.c. the frequency is zero. Inductive reactance is \(X_L = \omega L = 0\). Capacitive reactance is \(X_C = \frac{1}{\omega C} \to \infty\).

Step 2: Check statement (A).
A capacitor blocks steady d.c. after it charges, and an inductor passes it. So A says the reverse of the truth. FALSE.

Step 3: Check statement (B).
The inductor passes d.c. freely (it acts like a plain wire) and the capacitor blocks it. So (B) is TRUE.

Step 4: Check statement (C).
The inductor does conduct d.c., so it is wrong to say both cannot. (C) is FALSE.

Step 5: Check statement (D).
The inductor has zero reactance in d.c., not infinite resistance. (D) is FALSE.

Step 6: Match with options.
Only B is true, which is option 3.

Final Answer:
Only statement B is correct. \[ \boxed{\text{Option 3: B only}} \]