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

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

Options:

  1. 40 ms
  2. 20 ms
  3. 30 ms
  4. 50 ms

Correct Answer: 40 ms

Solution: 

Time constant τ = R * C = 4000 Ω * 10 x 10^-6 F = 40 ms.

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).
  • Time Constant in RC Circuits – The time constant (τ) in an RC circuit is the product of resistance (R) and capacitance (C), representing the time it takes for the voltage across the capacitor to charge to about 63.2% of its maximum value.
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