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Calculate the range of the variable capa...

Calculate the range of the variable capacitor that is to be used in a tuned-collector oscillator which has a fixed inductance of 150 `p`H.The frequency band is from 500 KHz to 1500KHz.

Text Solution

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Resonant frequency `f_0=(1)/(2pisqrt(LC))`
On simplifying we gwt `C=(1)/(4pi^2f_(0)^(2)L)`
When frequency is equal to 500kHz
`C=(1)/(4xx3.14^2xx(500xx10^3)^2xx150xx10^-6)=676pF`
When frequency is equal to 1500 kHz
`C=(1)/(4xx3.14^2xx(500xx10^3)^2xx150xx10^-6)=75pF`
Therefore the capacitor range is 75-676pF
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