F8.6 Design a notch filter to remove the 60 Hz hum from the output of a cassette tape player. The output of the tape player can be represented by a Thevenin equivalent circuit consisting of a voltage source and a 50 resistor. The output of the tape player contains the desired music as well as the 60 Hz hum. This output is amplified by a power amplifier that drives the speaker. The input resistance of the amplifier is 1 k. The notch filter must be connected between the tape player and the amplifier. A 10 F capacitor is available for your design.

a. Draw the circuit of your design that includes the output of the tape player and the input of the power amplifier.

b. Derive the transfer function of your circuit.

c. Determine the values of all other components in the circuit.

d. Determine the bandwidth and the Q of the filter.

e. Verify your calculations above by simulating the filter using Multisim. Plot the magnitude and phase response of the filter. Attach the results of the simulation to your homework and discuss any differences between your simulated and calculated results