The shaded part of the circuit in Figure P10-8 is called a tank circuit. It is used in AM radios to tune to the intermediate frequency (IF) allowing the transmitted signal to be received. The IF is set at \(455 \mathrm{kHz}\). The inductor is known to be \(10 \mu \mathrm{H}\). The series resistor is \(100 \mathrm{k} \Omega\). Select \(C\) so that the tank circuit has poles at the IF. Determine the location of the zeros of \(Z_{\mathrm{EQ}}\).