In an RC circuit, what is the time constant if R = 4 kΩ and C = 10 µF?

Practice Questions

Q1
In an RC circuit, what is the time constant if R = 4 kΩ and C = 10 µF?
  1. 40 ms
  2. 20 ms
  3. 30 ms
  4. 50 ms

Questions & Step-by-Step Solutions

In an RC circuit, what is the time constant if R = 4 kΩ and C = 10 µF?
  • Step 1: Identify the values of R and C from the question. R = 4 kΩ (which is 4000 Ω) and C = 10 µF (which is 10 x 10^-6 F).
  • Step 2: Use the formula for the time constant τ, which is τ = R * C.
  • Step 3: Substitute the values into the formula: τ = 4000 Ω * 10 x 10^-6 F.
  • Step 4: Calculate the multiplication: 4000 * 10 x 10^-6 = 4000 * 0.00001 = 0.04 seconds.
  • Step 5: Convert seconds to milliseconds: 0.04 seconds = 40 milliseconds (ms).
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