Question

Using an RLC circuit to design a band-reject filter, with the two cut off frequencies 40k...

Using an RLC circuit to design a band-reject filter, with the two cut off frequencies 40k and 90k Hz. Design the values of R, L, C, quality factor Q, and find the output terminals on the circuit.

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Answer #1

An RLC circuit has a resistor, capacitor and an inductor in series with a voltage source. In the band-reject filter, the output voltage(output terminals) is measured across series inductor and capacitor as shown in the figure below;

So, we can write

The center frequency is kHz

The cutoff frequencies are

Cutoff frequencies are 40kHz and 90kHz

So

Let

So

Cut off frequency = 40000+25000 = 65000

Capacitance,

Quality factor, Q =

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