The ratio of the inductive reactance to the

capacitivereactance is observed to be 5.36 in a series RCL circuit.

Theresonant frequency of the circuit is 225 Hz. What is the

frequency (nonresonant) of the generator that is connected to

thecircuit?

The non resonance frequency of the generator is = 1201.79 Hz

Explanation:

At resonance,

f₀ = 1/2π√LC ... Equation 1

Where f₀ = resonance frequency, L = inductance, C = capacitance

making LC the subject of the equation

LC = 1/4πf₀² ... Equation 2

Given: f₀ = 225 Hz, and π = 3.143

Substituting these values into equation 2,

LC = 1 / (4*3.143²*225²)

LC = 1/2000385.9

LC = 5*10⁻⁷

If the ratio of capacitive reactance to inductive reactance = 5.36

1/2πfC/2πfL = 5.36

1/4π²f²LC = 5.36

Where f = frequency of the non resonant

making f the subject of the equation

f = 5.36/2π√LC ... Equation 3

Substituting the value of LC = 5*10⁻⁷ into equation 3

f = 5.36/2*3.143√ (5*10⁻⁷)

f = 5.36 / (6.286*0.00071)

f = 5.36/0.00446

f = 1201.79 Hz

Thus the non resonant frequency of the generator is = 1201.79 Hz