Design a Colpitts oscillator operating at 200 MHz using an FET in a common gate configuration, including the effect of a lossy inductor. First derive equations for the resonant frequency and condition required for sustaining oscillation for an inductor with loss, corresponding to equations (13.20)- (13.22) for the BJT case. Use these results to find the required capacitances, assuming an inductor of 15 nH with a Q of 50, and a transistor with Determine the minimum value of the inductor Q required to sustain oscillations