# Homework Help: Mesh Analysis of an AC circuit.

1. Oct 8, 2012

### EleComp

I need to perform mesh analysis using complex numbers on an AC circuit. My issue, is I don't understand how to do this. The circuit contains only one voltage source, where we have only been taught how to perform a mesh analysis on a circuit that contains 2 voltage sources. Can someone show me how to perform a mesh analysis on the attached circuit.The attached circuit was built in MultiSim, and though it has the currents, I need find the currents without simulation and just calculations. Please help! This is just an example, but a really close example to my actual circuit.

File size:
72.8 KB
Views:
222
2. Oct 8, 2012

### Staff: Mentor

Hi EleComp, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]

For mesh analysis, mark in a current flowing all the way around each mesh or closed loop. Say a current i₁ goes from the top of the voltage source, through R and C and back into the lower end of the voltage source. For the second loop, mark in a current i₂ emerging from the top of the capacitor going through the inductor and back into the lower end of the capacitor. You have marked a current in each loop, and this now defines the net current in each element. In particular, the current in the capacitor = i₁ - i₂

Now, use KVL to derive a set of equations in i₁ and i₂, and solve simultaneously.

Last edited by a moderator: May 6, 2017