Answer:
The resonating frequency of the given RLC circuit is found to be 1.59 KHz
Step-by-step explanation:
The resonating frequency in a series RLC circuit is the one at which the Inductive Reactance and the Capacitive Reactance of the circuit becomes equal. And the circuit becomes purely resistive. The resonating frequency of a series RLC circuit is given by the following formula:
fr = 1/2π√(LC)
where,
fr = Resonating Frequency = ?
L = Inductance = 2 mH = 2 x 10⁻³ H
C = Capacitance = 5 μF = 5 x 10⁻⁶ F
Therefore,
fr = 1/2π√[(2 x 10⁻³ H)(5 x 10⁻⁶ F)]
fr = 1591.5 Hz = 1.59 KHz
The resonating frequency of the given RLC circuit is found to be 1.59 KHz