You have a 30microH inductor and want to form a 1MHz parallel, resonant circuit. What size capacitor.........

Question

do you need?

I have no clue how to figure this one out, please help, thanks.

Answer 1

The resonance of an LC circuit in Hz is

Fr = (1/2π)*√[1/(L*C)]

2π*Fr = √[1/(L*C)]

4*π^2*Fr^2 = 1/(L*C)

C = 1/[4*π^2*Fr^2*L]

C = 844 pF

Answer 2

Resonant frequency of an LC circuit is 1 / (2 * pi * sqrt (LC)) which, when C is on the left = 1 / (2 * pi * f * L)

Inserting your numbers, I get 5.305 microfarads