An RLC circuit with an alternating voltage source is shown. The source voltage vs is given by vs = vmsin(ωdt), where ωd = 2πfd, in which fd 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 m the figure C = 15 × 10-6 F, L = 240x 10-3H, and vm = 24V.
a) Make a 3-D plot of I (z axis) as a function of ωd (x axis) for 60 b) 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 1/(2Ï€ˆšLC).

Transcribed Image Text:

v, v," sin(co,d)