The same circuit is used in the Detailed Nodal Analysis Example.
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.
Step 2: Choose clockwise mesh currents for each mesh and label accordingly.
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 |