The circuit below is a resonant bandpass filter. It blocks low and high frequenc

Question

The circuit below is a resonant bandpass filter. It blocks low and high frequencies and passes a narrow band of frequencies. Find the transfer function for this circuit. omega0 is the center frequency, defined as the frequency at which the magnitude of the transfer function is a maximum. Show that omega0 = 1/ . omega LO and omega HI are the lower and upper cutoff frequencies, where, the magnitude of the transfer function is 3 dB below its maximum value. The bandwidth is the distance between these two frequencies, i.e. BW = omega HI - omega LO. Show that BW = omega0/Q. For C = 1muF, find the values of L and R so that the filter has a center frequency of 1000 Hz and a bandwidth of 100 Hz. Sketch Bode plots of the magnitude and phase of the frequency response, indicating all important values.

Explanation / Answer

potential in any two terminal is equal hence you can find that each negative terminal has zero potential now its easy to find transfer function.

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