Junction Rule — Prelims Questions

At a junction in an electrical circuit, three wires meet. Current $I_1 = 5\,\text{A}$ enters the junction, and current $I_2 = 2\,\text{A}$ leaves the junction. If current $I_3$ also leaves the junction, what is the magnitude and direction of $I_3$?

In the circuit diagram shown, what is the value of current $I_x$?

Which of the following statements about Kirchhoff's Current Law (KCL) is INCORRECT?

A junction has five branches. Currents $I_1 = 10\,\text{A}$ and $I_2 = 7\,\text{A}$ enter the junction. Currents $I_3 = 4\,\text{A}$ and $I_4 = 6\,\text{A}$ leave the junction. What is the magnitude and direction of the current $I_5$ in the fifth branch?

In a complex circuit, a junction has currents $I_A$, $I_B$, $I_C$, and $I_D$. If $I_A$ and $I_B$ are entering the junction, and $I_C$ and $I_D$ are leaving the junction, which of the following equations correctly represents Kirchhoff's Current Law?

In the given circuit, if $I_1 = 6\,\text{A}$, $I_2 = 4\,\text{A}$, and $I_3 = 2\,\text{A}$, all entering a junction, and $I_4 = 5\,\text{A}$ leaves the junction, what is the magnitude and direction of the fifth current $I_5$?

Why is Kirchhoff's Current Law (Junction Rule) considered a fundamental law, rather than just an empirical observation?