14. An RLC circuit with an alternating voltage source is shown. The source voltage is given by

, where , in which is the driving frequency.

The amplitude of the current, I, in this circuit is given by:

where R and C are the resistance of the resistor and capacitance of the capacitor, respectively. For the circuit in the figure F, H, and V.

(a) Make a 3-D plot of I (z axis) as a function of (x axis) for Make a plot that is a projection on the x z plane. Estimate from this plot the natural frequency of the circuit (the frequency at which I is maximum).
Compare the estimate with the calculated value of .