- #1
Sirsh
- 267
- 10
Homework Statement
This is not for a mathematics unit but is part of an electrical question I'm trying to solve but I cannot solve this equation. The complex numbers Zp and Zr are both real and imaginary, whereas Xm is purely imaginary.
Homework Equations
Zp = (Xm*Zr)/(Xm+Zr)
Zp = 29.76+j15.72
Xm = j95
The Attempt at a Solution
Zp = (Xm*Zr)/(Xm+Zr)
Zp(Xm+Zr) = (Xm*Zr)
Zp*Xm + Zp*Zr = Xm*Zr
(Zp*Xm)/Xm + (Zp*Zr)/Xm = Zr
Zp + (Zp*Zr)/Xm = Zr
I just do not know how to get Zr on it's own then I can approach solving it, either way i see it will have Zr on either sides of the equation. So even before substituting i feel it is the wrong approach.