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An RLC series circuit whose resistance value is R = 20 0, with inductance of value L = 0.35 H and capacitance of C = 20 uF, is connected to an alternating voltage network of amplitude U = 180 V and an angular frequency w = 314s-1. Find: (SHOW YOUR WORK) a) the amplitude of the current in the circuit. b) the phase difference between the current and the external voltage. c) the amplitudes of the voltage across the capacitor and the inductor