Question

The current (i) at time t=0 and t=∞ respectively for the given circuit is : 

• A. 18E/55 , 5E/18
• B. 5E/18 , 18E/55
• C. 10E/33 , 5E/18
• D. 5E/18 , 10E/33

Hint:

Inductors resist changes in current (open at $t=0$), while capacitors resist changes in voltage (short at $t=0$).

Answer 1

The Correct Option is D

Step 1: At $t=0$, an inductor acts as an open circuit and a capacitor acts as a short circuit.
Step 2: At $t=\infty$, an inductor acts as a short circuit and a capacitor acts as an open circuit.
Step 3: Substitute these conditions into the resistive network to calculate equivalent resistance and solve for $I = E/R_{eq}$.
Step 4: For this standard circuit, the calculated values match option (D).