In an RC circuit, what is the relationship between the time constant (τ) and the

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Question: In an RC circuit, what is the relationship between the time constant (τ) and the cutoff frequency (f_c)?

Options:

Correct Answer: f_c = 1 / (2πτ)

Solution:

The cutoff frequency f_c is related to the time constant by the formula f_c = 1 / (2πτ).

In an RC circuit, what is the relationship between the time constant (τ) and the cutoff frequency (f_c)?

In an RC circuit, what is the relationship between the time constant (τ) and the cutoff frequency (f_c)?

Time Constant (τ) – The time constant in an RC circuit is the time it takes for the voltage across the capacitor to charge to about 63.2% of its maximum value or discharge to about 36.8% of its initial value.
Cutoff Frequency (f_c) – The cutoff frequency is the frequency at which the output power drops to half its maximum value, corresponding to the point where the reactance of the capacitor equals the resistance in the circuit.
Relationship between τ and f_c – The relationship is defined by the formula f_c = 1 / (2πτ), indicating that as the time constant increases, the cutoff frequency decreases.