Question

What will the algebraic sum of a closed circuit be?

Answer 1

Closed-circuit:

1. In a close circuit, the algebraic sum of currents at a junction is zero.
2. It is followed by Kirchoff's current law which states that "at any junction, the sum of currents entering the junction is equal to the sum of currents leaving the junction.”

Mathematically,

$\begin{array}{rcl}& \Rightarrow & {\mathrm{I}}_1+{\mathrm{I}}_3={\mathrm{I}}_2+{\mathrm{I}}_4+{\mathrm{I}}_5\end{array}$

So we can write,

$∆\mathrm{I}=0$

That means the sum of all the currents at a junction of a closed circuit is zero.

Therefore, the current can not be created at a junction rather, the current travels through a circuit only because there is an electric potential variation between the two ends.