State the Superposition theorem. Applying Superposition theorem in Fig. Q5, determine the (i) current in each branch and (ii) power dissipated across 6 Ω resistor.

a) State the Superposition's theorem.

The Superposition Theorem states that in any linear circuit containing multiple independent sources, the current or voltage at any point in the circuit is the algebraic sum of the currents or voltages produced by each independent source acting alone, with all other independent sources turned off (voltage sources replaced by short circuits and current sources replaced by open circuits).

b) Applying Superposition theorem in Fig. Q5, determine the (i) current in each branch (ii) power dissipated across 6 $\Omega$ resistor.

We will determine the current in each branch by considering the effect of each voltage source separately. Let's define the branch currents:

• $I_{2\Omega}$: Current through the 2 $\Omega$ resistor, assumed direction downwards.