Consider a series lrc-circuit in which c 120.0uf. when driven at a frequency w 200.0 rads the complex impedance is given by z (100.0-j10.0) 2. (a) calculate (i) the reactances x, and xc of the circuit at w200.0 rads-1, (ii) the inductance of the circuit. (b) calculate the resonant angular frequency of the circuit. hence, calculate the driving frequencies for which the average power in the circuit is half the reso- nant power. [hint: the solutions to the quadratic formula: ax2 + bx + c = 0 are given by: bt - 4ac)/2a