Question

A transmitter operates at 1 MHz. The oscillating circuit has a capacitance of 200 pF. What is the inductance and capacitative reactance of the resonant circuit ?

Answer 1

Here, `v = 1 M Hz = 10^(6) Hz`,
`C = 200 pF = 2 xx 10^(-10) F, L = ?, X_(C ) = ?`
As `v = (1)/(2 pi sqrt(LC))`
`:. L = (1)/(4 pi^(2) v^(2) C) = (1)/(4 xx (22)/(7) xx (22)/(7) xx (10^(6))^(2) xx 2 xx 10^(-10))`
`= 13 xx 10^(-5) H`
As `X_(C ) = (1)/(omega C) = (1)/(2 pi v C)`
`:. X_(C ) = (1)/(2 xx (22)/(7) xx 10^(6) xx 2 x 10^(-10)) = 795.5 ohm`