MATLAB: AN INTRODUCTION WITH APPLICATIO
MATLAB: AN INTRODUCTION WITH APPLICATIO
6th Edition
ISBN: 9781119626596
Author: GILAT
Publisher: WILEY
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Chapter 10, Problem 14P

An RLC circuit with an alternating voltage source is shown. The source voltage vsis given by v s = v m sin ( ω d t ) , where ω d = 2 π f d , in which fdis the driving frequency. The amplitude of the current, I, in this circuit is given by:

I = v m R 2 + [ ω d L 1 / ( ω d C ] 2 where R and C are the resistance of the resistor and capacitance of the capacitor, respectively. For the circuit in the figure C = 15 × 10 6 F, L = 240 × 10 3 H and vm= 24V.

60 f 110 Hz, and as a function of R (y axis) for 10 R 40 Ω .

(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 maxim um). Compare the estimate with the calculated value of 1 / 2 π L C .

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