A Radio transmitter's RLC oscillator circuit initially stores all its energy in the capacitor then begins to oscillate. Let R=5 (ohms) L=160pH and c=42nF.
a. Estimate the number of cycles required before the circuit loses 50 percent of its energy? (Assume the effect of the resistor on the oscillator frequency is negligible)
b. What average power (in watts) would a correctly tuned and phase-matched AC power supply need to generate in order to prevent this decay and maintain a constant output?