For an LRC series circuit containing a resistance of 11.0-Ω, a capacitance of 2.0-μF, and an inductance of 24.0 H, what frequency is needed to minimize the impedance?
A) 0.023 kHz
B) 0.14 kHz
C) 10 kHz
D) 1.7 kHz

Question

Quizplus · Accepted Answer

The impedance of an LRC series circuit is minimized when the inductive reactance equals the capacitive reactance. The inductive reactance is given by XL = 2πfL, and the capacitive reactance is given by XC = 1/(2πfC). Setting these two equations equal to each other and solving for f, we get:f = 1/(2π√LC) = 1/(2π√(24.0 H)(2.0 μF)) = 0.023 kHzTherefore, the correct answer is A.

For an LRC Series Circuit Containing a Resistance of 11