Answer:
The resonance frequency = 0.978 Hz
Explanation:
Resonance: This is a point in an A.c circuit where the capacitive reactance is equal to the inductive reactance. The frequency at resonance is called Resonance Frequency. Mathematically, resonance frequency is expressed as
f₀ = 1/2π√(LC)......................................... Equation 1
Where f₀ = resonance frequency, L = inductance of the inductor, C = capacitance
Given: L = 900 mH = (900/1000) H = 0.9 H, C = 0.014 mF = (0.014/1000) F = 0.000014 F
Constant: π = 3.143
Substituting these values into equation 1
f₀ = 1/2×3.143√(0.9×0.000014)
f₀ = 1/6.286√(0.0000126)
f₀ = 1/6.286×0.00355
f₀ = 1/0.0223
f₀ = 0.978 Hz.
Therefore the resonance frequency = 0.978 Hz
