Circuits and resistors questions. These are the correct answers but could someon
ID: 777602 • Letter: C
Question
Circuits and resistors questions. These are the correct answers but could someone please show me how to do these problems/the work for them?
2) [30 points] The circuit at right consists of a resistor, R- 125, an inductor, L 265 mH, and a capacitor, C 145 F, in series with an alternating voltage source given by the equation V2 Sin([200 rad/s] t) Volts. Show your work for all parts. a) [2 pts.] What is the period of the oscillation of this circuit? b) [4 pts] What is the reactance of the resistor XR, The reactance of the inductor, Xi, and the reactance of the capacitor, Xc? c) 4 pts] What is the amplitude of the current, im flowing through this circuit? d) [4 pts] What is the phase angle, , between the current and the voltage? Does the current lead or lag the voltage? 0.147 rad 8.420Explanation / Answer
comparing the given equation with the genral equation
Vs(t) = 12*sin(200*t)
Vs(t) = Vmax*sin(w*t)
w = 200
2*pi/T = 200
T = 2*pi/200 = (2*3.142)/200 = 31.42*10^-3 sec = 31.42 msec
b) reactance of resistor is R = 125 ohm
reactance of inductor is XL = w*L = 200*0.265 = 53 ohm
reactance of capacitor is XC = 1/(w*C) = 1/(200*145*10^-6) = 34.5 ohm
C) Im = Vm/Z = 12/125 = 0.096 A
Z = sqrt((XL-XC)^2+R^2) = sqrt((53-34.5)^2+125^2) = 126.4 ohm
Im = Vm/Z = 12/126.4 = 0.095 A
d) phi = tan^(-1)((XL-XC)/R) = tan^(-1)((53-34.5)/125) = 8.42 deg
or 8.42 deg = 0.147 rad
current leads Voltage