State Kirchhoff's current and voltage laws and calculate currents I1, I2, and I3.

Here's a step-by-step solution to the problem:

Part (i): State Kirchhoff's current and voltage laws.

• Kirchhoff's Current Law (KCL): The algebraic sum of currents entering a junction (or node) in an electrical circuit is equal to the algebraic sum of currents leaving the junction. This law is based on the conservation of charge.
• Kirchhoff's Voltage Law (KVL): The algebraic sum of the potential differences (voltages) around any closed loop in an electrical circuit is zero. This law is based on the conservation of energy.

Part (ii): Calculate the currents $I_1$, $I_2$, and $I_3$.

We will apply Kirchhoff