A signal is broadcast at a resonant frequency of 1 MHz, if the circuit has a 100 pF capacitor what inductor value do they need to receive this resonant frequency? Give your answer in μH.

1 Answer
A08
May 3, 2018

Resonant frequency #f# of #LC# circuit is given as

#f=1/(2pisqrt(LC))#

Inserting given values we get

#1xx10^6=1/(2pisqrt(L(100xx10^-12)))#
#=>L=1/((2pixx1xx10^6)^2(100xx10^-12))#
#=>L=1/((2pi)^2(100))=253.3 \ muH#

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