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# Kirchoff's Law

Kirchoff's voltage law states that the **algebraic sum of all branch voltages around any closed path in a circuit is always zero**.

### What will be the Voltage?

By using Kirchoff's Voltage law, the sum of the potential drops is equal to the sum of the potential rises.

30 V ** = ** 2V **+** 5V **+** 3V **+** **?**V **+** 10V **+** 6V

**?**V** = **4V.

## Kirchhoff's Current Law

Kirchhoff's current law states that the **sum of the current entering into any node is equal to sum of the currents leaving that node.**

### What will be the Current I _{1}, I _{2}, I _{3}?

By applying kirchhoff's current law,

I (entering current)** = **** I **_{1} **+**** I **_{2} **+**** I **_{3} (leaving current)

I **=** V **/** 1 **+** V **/** 2 **+** V **/** 3

10A **=** V [ 1 **/** 1 **+** 1 **/** 2 **+** 1 **/** 3 ]

10A **=** V [ 1 **+** 0.5 **+** 0.333 ]

V **=** 10 A **/** 1.83

V **=** 5.46 V

Clearly, by using ohm's law **I = V / R **

**I **_{ 1 } **=** 5.46 **/** 1 **=** 5.46A

**I **_{ 2 } **=** 5.46 **/** 2 **=** 2.73A

**I **_{ 3 } **=** 5.46 **/** 3 **=** 1.82A

#### Related to Kirchoff's Law

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