Voltage in a series: Please provide detailed solutions for each part, thanks! Vo
ID: 1263978 • Letter: V
Question
Voltage in a series:
Please provide detailed solutions for each part, thanks!
Voltage in a series: Please provide detailed solutions for each part, thanks! The voltage in a series RLC circuit is given by: i(t)= (15mA) sin(471.2t+1.041).The resistance is 51.0 Ohm, the capacitance is 69.0 MuF and the inductance is 250 mH a) What is in Hz the frequency of the voltage source? b) What is in Ohms, the inductive reactance of the circuit? c)What is in Ohms, the overall impedance of the circuit? d) What is in mA, the rms current in the circuit? e) What is in volts the rms voltage across the capacitor?Explanation / Answer
I max = 15 mA
I = I max sin [wt + phi]
w = 471.2
f = w / 2 pi
f = 75 Hz
inductive reactance = w L = 471.2 x 250/1000 = 117.8 ohm
Xc = 1/wC = 1/ 471.2 x 69 x 10^-6 = 30.75
total impedence = root [ R6@ + [Xl - Xc]^2]
= 100.88 ohm
Irms = Imax / root 2 = 10.6mA
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.