# Which of the following laws states that the algebraic sum of the currents at a node at any instant is zero?

Which of the following laws states that the algebraic sum of the currents at a node at any instant is zero?

### Right Answer is:

Kirchhoff’s Current Law

#### SOLUTION

**Kirchhoff’s Current Law**** (KCL): **It states that the **algebraic sum of currents entering a node or closed boundary is zero**. KCL is based on the conservation of charge.

Mathematically, KCL implies that

$mathop sum limits_{n = 1}^N {i_n} = 0$

Where

N is the number of branches connected to the node

And in is the nth current entering or leaving the node.

By this law current entering a node may be regarded as positive and current leaving a node may be regarded as negative or vice-versa.

The sum of currents entering a node is equal to the sum of the currents leaving the node.