In a series RC circuit, if the resistance is doubled, what happens to the time c

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Question: In a series RC circuit, if the resistance is doubled, what happens to the time constant?

Options:

Correct Answer: It doubles.

Solution:

The time constant τ = R * C will double if the resistance R is doubled, assuming capacitance C remains constant.

In a series RC circuit, if the resistance is doubled, what happens to the time constant?

In a series RC circuit, if the resistance is doubled, what happens to the time constant?

Step 1: Understand what a time constant is. The time constant (τ) in an RC circuit is calculated using the formula τ = R * C, where R is resistance and C is capacitance.
Step 2: Identify the variables in the formula. In this case, R is the resistance and C is the capacitance.
Step 3: Note that the problem states the resistance R is doubled. This means if the original resistance is R, the new resistance will be 2R.
Step 4: Substitute the new resistance into the time constant formula. The new time constant will be τ = (2R) * C.
Step 5: Simplify the new time constant. This gives τ = 2 * (R * C), which means the new time constant is double the original time constant.
Step 6: Conclude that if the resistance is doubled, the time constant also doubles, assuming the capacitance remains constant.

Time Constant in RC Circuits – The time constant (τ) in an RC circuit is defined as the product of resistance (R) and capacitance (C), indicating how quickly the circuit charges or discharges.