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Annette [7]
1 year ago
8

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?
Physics
1 answer:
vfiekz [6]1 year ago
0 0

Answer:

The capacitance is  C =  3.2 9  *10^{-16} \  F

Explanation:

From the question we are told that

   The  induction of the LC circuit is  L  = 15 mH  =  15 *10^{-3} \ H

    The  frequency is   w = 450 \ MHz =  450 *10^{6} \ Hz

The natural frequency is mathematically represented as

          w =  \frac{1}{\sqrt{LC} }

Where C is the capacitance So  

=>      C =  \frac{1}{L * w^2}

substituting values

         C =  \frac{1}{15 *10^{-3} * [450 *10^{6}]^2}

         C =  3.2 9  *10^{-16} \  F

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