Topic: Network Theory
The time-constant of the network shown in the figure is (Two parallel branches, each with a resistor R and capacitor C arranged to form an equivalent circuit)
- A. CR
- B. 2 CR
- C. CR/4
- D. CR/2
Answer: A. CR
Explanation: The circuit simplifies to an equivalent resistance $R_{eq}=\frac{R}{2}$ and equivalent capacitance $C_{eq}=2C$. The time constant is the product of these equivalent values: $R_{eq}C_{eq} = \frac{R}{2} \cdot 2C = RC$.