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Snezhnost [94]
3 years ago
5

The ratio of the inductive reactance to the

Physics
1 answer:
BARSIC [14]3 years ago
6 0

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>

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