PHYS345 Electricity and Electronics

Detailed Mesh Analysis Example

The same circuit is used in the Detailed Multiloop Circuit Example.

Circuit schematic involving 5 resistors and 2 emfs

Step 1: Replace any combination of resistors in series or parallel with their equivalent resistance. Here I simply use the result from the previous example.

Symmetrized schematic

Step 2: Choose clockwise mesh currents for each mesh and label accordingly.

Mesh currents specified

Step 3: Write the mesh equation for each mesh. Here I suppress the "k" for each resistor; the final currents will be in milliamps.

Left mesh:     11 I1 - 6 I2 = 9
Right mesh:     - 6 I1 + 18 I2 = 9

Step 4: Solve the equations to obtain the values of the unknowns. Tackle the solution of the simultaneous equations in your preferred way.

I1 :  4/3 mA   1.33 mA
I2 :  17/18 mA   0.94 mA

These results may be used to find any of the quantities of interest, as in the Detailed Multiloop Circuit Example.

Last updated Sept. 14, 1998.
Copyright George Watson, Univ. of Delaware, 1998.