Apply the laws in Fig. Q2 to find current through each branch.

To find the current through each branch, we will apply Kirchhoff's Laws (KCL and KVL).

First, let's define the mesh currents. We will use two clockwise mesh currents:

• $I_1$: Current in the left loop.
• $I_2$: Current in the right loop.

The branch currents will be expressed in terms of $I_1$ and $I_2$:

• Current through the 2 $\Omega$ resistor: $I_{2\Omega} = I_1$ (flowing right).
• Current through the 4 $\Omega$ resistor: $I_{4\Omega} = I_1 - I_2$ (flowing downwards).
• Current through the 3 $\