A 1 mH coil with Q = 100 is used in a tuned amplifier. The transistor has β = 100 and r_{o} = 100 kΩ and input resistance R_{i} = R_{B} || r_{π} = 10 kΩ.
(a) Determine the value of tuning capacitance (C) such that the amplifier has a maximum gain at f_{o} = 50 kHz. Also calculate the value of this gain for the given L = 1 mH.
(b) Determine the bandwidth of the amplifier.