## Kirchhoff's Laws

Describe Kirchhoff's Current & Voltage Laws.

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__**Hint**

**Hint**

Kirchhoff's laws are a foundation for solving circuit problems, and are also known as the

*Conservation of Charge*and*Conservation of Energy*.
Kirchhoff's Current Law states that the sum of all currents flowing into a node is equivalent to the sum of all currents flowing out of the same node. In other words,

$$$\sum i_{in}=\sum i_{out}$$$

The current law can also be expressed as

$$$\sum_{n}i_{n}=0$$$

Kirchhoff's Voltage Law states that the voltage sum around a loop is zero.

$$$\sum_{n}v_{n}=0$$$

where n counts the voltage components around the loop. The law can also be interpreted as the sum of voltage rises equals the sum of voltage drops around a loop.

$$$\sum v_{rise}=\sum v_{drop}$$$

Kirchhoff's Current Law states that the sum of all currents flowing into a node is equivalent to the sum of all currents flowing out of the same node. Kirchhoff's Voltage Law states that the voltage sum around a loop is zero. The voltage law can also be interpreted as the sum of voltage rises equals the sum of voltage drops around a loop.