Question

A resistor of value 200Ω and capacitance 15μF are connected in series. What is the total time constant of the circuit?

• A. 0.3 ms
• B. 7.5 ms
• C. 3 ms
• D. 1.33 ms

Hint:

The time constant in an RC circuit is the product of resistance and capacitance. It represents the time it takes for the voltage to reach 63% of its final value.

Answer 1

The Correct Option is C

Step 1: Time constant formula.
The time constant \( \tau \) for an RC circuit is given by: \[ \tau = R \times C \] where: - \( R = 200 \, \Omega \), - \( C = 15 \, \mu F = 15 \times 10^{-6} \, \text{F} \).
Step 2: Calculating the time constant.
Substituting the values into the formula: \[ \tau = 200 \times 15 \times 10^{-6} = 3 \times 10^{-3} \, \text{seconds} = 3 \, \text{ms} \]
Step 3: Conclusion.
The time constant of the circuit is \( 3 \, \text{ms} \), so the correct answer is (C).