An MRI machine needs to detect signals that oscillate at very high frequencies. It does so with an LC circuit containing a 15mH coil. To what value should the capacitance be set to detect a 450 MHz signal?

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EXPERT ANSWER

w = 1/sqrt(LC)

LC = 1/w^2

C = 1/(L*w^2)

where w= 2*pi*f = 900*pi*10^6 rad/s

C = 8.339 * 10^-18 F