Complex arithmetic for circuit equation

[dave pallamino]

Hi,

I am trying to find the current of a circuit using mesh analysis so far I have;

My voltages
V1 = 415 ∠ 90° or 0 + j415
V2 = 415 ∠ 0° or 415 + j0

impedances
Z1 = j4
Z2 = j6

My formula is;

-V1+Z1*I+Z2*I+V2=0

Which equates to;

-0+j415+j4*I+j6*I+415+j0=0

Could someone tell me how to approach this one?

 

[gneill]

Probably easiest to do the straightforward algebra on your loop equation first, solving for I symbolically. Then plug in the complex values and do the complex arithmetic.

 

[donpacino]

Can you post a schematic? We can't help you if we don't know what the circuit looks like.
What do you need help with, solving for I? If that's the case treat this just like any other algebra problem. Get I on one side of the equation and everything else on the other.

ex.
(1+1j)*x-2*j*x+100=0
x(1-j)=-100
x=-100/(1-j)