A coil of inductance and resistance is connected in series with a capacitor of…
PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
A coil of inductance L=200mH and resistance R=50Ω is connected in series with a capacitor of capacitance C=50μF to a 220V (rms), 50Hz ac mains.
(i) Calculate the inductive and capacitive reactances at 50Hz.
(ii) Determine the resonant frequency of the circuit.
(iii) If the supply frequency is adjusted to the resonant value found in part (ii), calculate the rms current in the circuit.
(iv) Find the rms potential differences across (a) the inductor and (b) the capacitor at resonance.
(v) Comment on your answers in part (iv) in relation to the applied voltage of 220V.