Answer:
<em>The non resonance frequency of the generator is = 1201.79 Hz</em>
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
<em>Given: </em>f₀ = 225 Hz, and π = 3.143
<em>Substituting these values into equation 2,</em>
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
<em>f = 1201.79 Hz</em>
<em>Thus the non resonant frequency of the generator is = 1201.79 Hz</em>
