Answer in English please

3. (a) Determine the initial currents in each branch of the circuit when the system is turned on.

At the instant the system is turned on ($t=0$), a capacitor acts as a short circuit. This means the voltage across the capacitor is zero.

Let's define the nodes:

• Let the bottom wire be the reference node (ground, $0 \text{ V}$).
• Let the top wire be Node A, with potential $V_A$.

The resistances in each branch are:

• Branch 1 (left): $R_1 = 800 \, \Omega$.
• Branch 2 (middle): $R_2 = 1200 ,