Show that the circuit in Fig. 14.66 is a lowpass filter. Calculate the corner frequency fc if L=

step 1 Show that in the given circuit is a low pass filter, calculate the corner frequency fc if the in

Show that the circuit in Fig. 14.66 is a lowpass filter....

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Key Concepts

Lowpass Filter

A lowpass filter is an electronic circuit that allows low-frequency signals to pass while attenuating signals with frequencies higher than a certain cutoff frequency. This concept is fundamental in electronics and communications for reducing noise and preventing high-frequency interference from affecting the desired signal.

RL Circuit Analysis

An RL circuit, composed of a resistor and an inductor, can serve as a filter based on the frequency-dependent nature of the inductor's impedance. At low frequencies, the inductor offers little opposition, so the signal is primarily dropped across the resistor, while at high frequencies, the increasing inductive reactance impedes the signal, thereby producing a filtering effect.

Corner Frequency Calculation

The corner frequency, also known as the cutoff frequency, is the frequency at which the output signal is attenuated to 1/?2 (about 70.7%) of its maximum value, corresponding to a -3 dB point. In an RL lowpass filter with the output taken across the resistor, the corner frequency is found by setting the resistor’s value equal to the magnitude of the inductive reactance, yielding the formula f?c? = R / (2?L).

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