Electric Circuits

What fundamental principle underlies Kirchhoff's Junction Rule?

A junction has two incoming currents of 4A and 6A. What is the outgoing current?

In a multi-loop circuit, a junction has three branches. One branch has a current $I_1$ entering the junction, another has a current $I_2$ leaving the junction, and the third has a current $I_3$ also leaving the junction. If $I_1 = 5\text{ A}$ and $I_2 = 2\text{ A}$, what is the value of $I_3$?

Which of the following statements accurately describes Kirchhoff's Junction Rule?

A junction has four branches. Two incoming currents are 3A and 5A, and one outgoing current is 2A. What is the value of the other outgoing current?

When applying Kirchhoff's Junction Rule, what sign convention is typically used for incoming and outgoing currents?

In the following circuit diagram, what is the value of $I_3$ if $I_1 = 4\text{ A}$ and $I_2 = 1\text{ A}$?