Figure 1 shows a circuit diagram containing 4 resistors and a battery of emf, ε = 4.40 V. Determine: (a) the currents I₁, I₂ and I₃. (b) the potential difference across AB

The circuit diagram shows a battery with electromotive force (EMF) $\varepsilon = 4.40 \, \text{V}$ and four resistors: $R_1 = 20.0 \, \Omega$ (top left), $R_2 = 20.0 \, \Omega$ (top right), $R_3 = 10.0 \, \Omega$ (between A and B), and $R_4 = 10.0 \, \Omega$ (rightmost).

a) Determine the currents $I_1$, $I_2$, and $I_3$.

Step 1: Apply Kirchhoff's Current Law (KCL) at node A.
The current $I_1$ enters node A, and currents $I_3$ and $I_2$ leave node A.

$$I_1 = I_3 + I_2 \quad (\text{Equation 1})$$