Engineering AC circuit: Find the current through the inductor & capacitor

[Michael_0039]

Homework Statement

AC circuit: Find the current through the inductor & capacitor

Relevant Equations

nil

Hi!

I wonder if it is correct. Can someone confirm (maybe with a software) ?

I(L) = I2
I(C) = I2 - I3
--

Thanks.

 

[gneill]

Your work looks good. I worked the problem via nodal analysis and obtained the same results. Good job.

 

[The Electrician]

Michael_0039, at the very end of your work, you didn't evaluate the expression for I1 correctly.

The correct value for I1 is 3.4955 ∠ -11.2195°

This doesn't affect your result for I(L) and I(C), but it is still a mistake.

 

[Michael_0039]

Michael_0039, at the very end of your work, you didn't evaluate the expression for I1 correctly.

The correct value for I1 is 3.4955 ∠ -11.2195°

This doesn't affect your result for I(L) and I(C), but it is still a mistake.

You are right, I forgot (10+(10*I2))/12