A transmitting station releases waves of wavelength . A capacitor of is used in the resonant circuit. The self inductance of coil necessary for resonance is _____ .
Step1: Given data and assumptions.
Wavelength,
Capacitance,
Speed of light,
Step2: Find the self-inductance of the coil.
We know that,
The resonance frequency of the circuit is,
Where, is the resonance frequency, is the inductance, and is the capacitance.
Also,
…..
Squaring both sides in the equation we get.
Hence, as compared to the given self-inductance of the coil necessary for resonance is .