Electrical Help

homework gets tougher at this level

Why not solve the equations? That should get you there.

Well, obviously, you can't add magnitudes of different phase angles. You must first convert from Polar to Rectangular, add the Rectangular components, and then convert back to Polar. Most engineering calculators have this function.

It is a very good idea. However, one may transform 3+4i and 6+8i in 5<53.13

and respectively 10<53.13 and then the product will be 415<120*10<53.13=4150<173.13 and 415<0*5<53.13=2075<53.13 as was written in this book.

Generally-for any real or complex number-the product of two numbers is:

a*x^n*b*x^m=a*b*x^(n+m)

Now if we should transform from Cartesian into polar it could be written:

re+j*im=abs*e^j*fi where: abs=sqrt(re^2+im^2) ; fi=arctan(im/re)

Then :

abs1*e^j*f1*abs2*e^j*fi2=abs1*abs2*e^j*(fi1+fi2)

Or written symbolic :

abs1*abs2*e^j*(fi1+fi2)=abs1*abs2<(fi1+fi2)