Question

A series RLC circuit is connected to a 240 V AC generator that operates at 99 Hz. In the circuit, R = 4.325 kΩ and C = 0.71 mF. You must have a circuit diagram, wherever necessary, to receive full credit on this question.

(a) (10 points) Determine the inductance, L, such that the current in the circuit is 19.1 mA.

(b) (6 points) Using the value determined for L in part (a), determine the frequency at which the current in the circuit is maximized. What do physicists call this frequency?

(c) (4 points) Determine the magnitude of the current that corresponds to the frequency from part(b).

(d) (5 points) Design a transformer for the circuit. Connect the generator to the primary side of the transformer and the RLC circuit to the secondary side. Our goal is to “Step-down” the voltage in the circuit. Determine the ratio of the number of turns from the primary side to the secondary side of the transformer, in order to drop 5 V across the secondary side of the circuit.

Thank you!

Answer 1

PFA solution and explaination