A transmitter transmits at a wavelength of `300 m`. A condenser of capacitance `2.4 muF` is being used. The value of the inductance for the resonant circuit is approximately

Options

A. `10^(-8)H`
B. `10^(-6)H`
C. `10^(-9)H`
D. `10^(-7)H`

Answer

A

Explanation

`v=flamda`
`f=(v)/(lamda)`
`therefore (1)/(2pisqrt(LC))=(v)/(lamda)`
`(1)/(4pi^(2)LC)=(v^(2))/(lamda^(2))`
`therefore L=(lamda^(2))/(4pi^(2)v^(2)C)=(9xx10^(4))/(4xx9.87xx9xx10^(16)xx2.4xx10^(-6))`
`=10^(-8)H`