An inductor is connected across a capacitor whose capacitance can be varied by turning a knob. We wish to make the frequency of oscillation of this LC circuit vary linearly with the angle of rotation of the knob, going from 2 ×105 to 4 ×105 Hz as the knob turns through 180°. If L = 1.0 mH, plot the required capacitance C as a function of the angle of rotation of the knob.

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