Mesh Analysis Exercise Question 1 | Solution

Mesh Analysis Exercise Question 1 | Solution

Find the current flow through each resistor using mesh analysis for the circuit in Figure 1

Figure 1

Solution

Step 1:

Assign a direction of current to each closed loop of the circuit.

Step 2:

Apply KVL around each closed loop of the circuit.

Loop 1

Loop 2

Step 3:

*There are two methods to solve the equation (1) and equation (2).

1. Solving the simultaneous linear equations (1) and (2) using matrix

Apply KCL to find I₃

2. Alternative solution for simultaneous linear equations

Equations (1) X 5 

Equations (2) X 4

Equations (3) – equations (4)

Replace I₂ = 3.16A into equation (1)