Question

In the circuit shown, the voltage across capacitor is

• A. \(200\,\mu s\)
• B. \(100\,\mu s\)
• C. \(-100\,\mu s\)
• D. \(-200\,\mu s\)

Hint:

Time constant \( \tau = RC \).

Answer 1

The Correct Option is B

Concept: For RC circuits: \[ \tau = RC \]

Step 1: Identify resistor and capacitor Given \(R = 5k\Omega\), \(C = 20\mu F\).

Step 2: Compute time constant \[ \tau = RC = 5 \times 10^3 \times 20 \times 10^{-6} \]

Step 3: Calculation \[ = 100 \times 10^{-3} = 0.1\,s \]

Step 4: Convert units \[ 0.1\,s = 100\,ms \]

Step 5: Conclusion \[ \boxed{100} \]

Final Answer: \[ \boxed{(B)} \]