In a certain RLC circuit, the RMS current is 5.67 A, the RMS voltage is 238 V, a
ID: 1267112 • Letter: I
Question
In a certain RLC circuit, the RMS current is 5.67 A, the RMS voltage is 238 V, and the current leads the voltage by 53.3°.
a) What is the total resistance of the circuit? answer: 2.51E1 ohm
----------ONLY MISSING PART b) PLEASE HELP ME GET THIS ANSWER.--------
b) Calculate the total reactance X = (XL - XC) in the circuit.
The following answers I have obtain but are wrong (online hw checks answers):
Wrong answers: 33.65 ohm, 33.67 ohm, 27.98 ohm , 2.51x10^1 ohm
c) Calculate the average power dissipated in the circuit. answer: 8.06x10^2 W
Explanation / Answer
b) tan theta = (XL - XC)/R
angle is negative since current leads
XL-XC = R tan theta = 2.51E1*tan(-53.3 degrees)=-33.67 ohms
you missed the minus sign before