Find the resonant frequency for a series RLC circuit where R = 10, C = 5.00 F, and L = 2.00 mH.

The resonating frequency of the given RLC circuit is found to be 1.59 KHz

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

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