If a resistor of 10 ohms and a capacitor of 100 microfarads are in series, what

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Question: If a resistor of 10 ohms and a capacitor of 100 microfarads are in series, what is the time constant of the circuit?

Options:

Correct Answer: 0.01 seconds

Solution:

The time constant τ = R * C = 10 ohms * 100 x 10^-6 F = 0.001 seconds or 1 millisecond.

If a resistor of 10 ohms and a capacitor of 100 microfarads are in series, what is the time constant of the circuit?

If a resistor of 10 ohms and a capacitor of 100 microfarads are in series, what is the time constant of the circuit?

Step 1: Identify the values given in the problem. We have a resistor (R) of 10 ohms and a capacitor (C) of 100 microfarads.
Step 2: Convert the capacitor value from microfarads to farads. 100 microfarads is equal to 100 x 10^-6 farads.
Step 3: Write down the formula for the time constant (τ) of a circuit with a resistor and capacitor in series. The formula is τ = R * C.
Step 4: Substitute the values into the formula. τ = 10 ohms * (100 x 10^-6 farads).
Step 5: Calculate the result. 10 * 100 x 10^-6 = 10 * 0.0001 = 0.001 seconds.
Step 6: Convert the time constant from seconds to milliseconds. 0.001 seconds is equal to 1 millisecond.

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