given the alternating current series circuit with R,X L , and X c find the indep
ID: 3092109 • Letter: G
Question
given the alternating current series circuit with R,XL, and Xc find the independence of the circuit(as a complex number),then the magnitude of the impedance(as a real number) and the phaseangle between current and voltage state leads or lags the current.then find the the total voltage if I=(2-3j)amps R=6 XL= 12 XC= 6.0 given the alternating current series circuit with R,XL, and Xc find the independence of the circuit(as a complex number),then the magnitude of the impedance(as a real number) and the phaseangle between current and voltage state leads or lags the current.then find the the total voltage if I=(2-3j)amps R=6 XL= 12 XC= 6.0 find the independence of the circuit(as a complex number),then the magnitude of the impedance(as a real number) and the phaseangle between current and voltage state leads or lags the current.then find the the total voltage if I=(2-3j)amps R=6 XL= 12 XC= 6.0Explanation / Answer
So Z = 6 + j12 -j6 = 6 + j6.
The magnitude of this is sqrt (62 + 62)which is 6 sqrt(2) = 8.49
Since the real and imaginary parts are equal, the phase is 45degrees.
Ohms law (in complex form) is V = I * Z
In order to multiply two complex numbers, it is easier to usepolar. We just found Z in polar form, I = 2 -3j = 3.61 angle56.3 : this angle is Atan of imag / real
V = 3.61 angle 56.3 * 8.49 angle 45 = 30.65 angle 101.3 or -6 + 30j
Tip: think about this answer on a circle: theangle is a little more than 90, which is in the upper leftquadrant. So the x (real) component needs to be negative, andthe y (imag) component needs to positive, and almost the samelength of the total. vector.
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