A coil of inductance 0.10H and resistance 50Ω is connected in series with a 4.0μF capacitor to a 50Hz AC mains supply.
a. (i) Calculate the inductive reactance XL and the capacitive reactance XC at 50Hz.
b. (ii) Determine the phase angle ϕ (in radians and in degrees) between the source voltage and the circuit current.
c. (iii) State clearly whether the current leads or lags the voltage and by how much.
d. (iv) If the r.m.s. supply voltage is 200V, compute the impedance of the circuit and hence find the r.m.s. current drawn from the supply.