I have this AC circuit:


simulate this circuit – Schematic created using CircuitLab

I have found VA which is \$222 \angle-119 mV\$.

The current flowing through the inductor \$IL = 2.6 \angle-89 mA\$

When I use Ohm's law to find current IR1 and IC2 they give me \$IR1=VA/R1 = 2.2 \angle-129 mA\$ and \$IC2=VA/XC2 = 1.3 \angle-39 mA\$ but when I add them (by converting them to rectangular form) they don't give me IL and I am confused why this is happening.

  • \$\begingroup\$ IR1+IC2 equals 2.55exp(-98i), which is not exactly your result for IL, but it is quite close, so I guess it is just an error from rounding. \$\endgroup\$ – Jiří Maier Apr 17 at 12:09
  • \$\begingroup\$ What does 222<-119 mean? Since you have a sinusoidal source all average currents and voltages must be zero. \$\endgroup\$ – 10ppb Apr 17 at 13:35
  • \$\begingroup\$ This is clearly not the average voltages and currents. \$\endgroup\$ – MrV Apr 17 at 15:34
  • \$\begingroup\$ \$V_A\$ is more like 231 mV at 2 kHz. \$\endgroup\$ – Andy aka Apr 17 at 16:07

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