Find the resonant frequency for a series RLC circuit where R = 10Ω, C = 5.00 μF, and L = 2.00 mH.
A) 998 Hz
B) 1.59 kHz
C) 2.45 kHz
D) 11.3 kHz
E) 2.53 kHz

Question

Quizplus · Accepted Answer

The resonant frequency for a series RLC circuit can be calculated using the formula:

f = 1/(2π√(LC))

where f is the resonant frequency in Hertz (Hz), L is the inductance in Henrys (H), and C is the capacitance in Farads (F).

Substituting the given values into the formula:

f = 1/(2π√(2.00 mH x 5.00 μF))

f = 1/(2π√(2.00 x 10^-3 H x 5.00 x 10^-6 F))

f = 1/(2π√(10^-11))

f = 1/(2π x 10^-6)

f = 1591.55 Hz

Therefore, the resonant frequency for the series RLC circuit is 1.59 kHz, which is best represented by choice B.

Find the Resonant Frequency for a Series RLC Circuit Where