An RLC circuit has a resistor of 300 W, a 1.0 µF capacitor, and an inductor of 450 mH connected to an alternate power source with a voltage given by: V = (150 V)sin(2000t), with t in seconds. Calculate:
a. the circuit's impedance
b. the rms current flowing through the circuit
c. the average power dissipated by the circuit
d. the phase angle between the voltage and the current
e. the resonance frequency of the circuit