What is Kirchhoff’s laws?

What is Kirchhoff’s laws? 

Kirchhoff’s laws are more comprehensive than ohm’s law and are used for solving
electrical networks.
The two Kirchhoff’s laws are:
1. Kirchhoff’s Current Law (KCL)
2. Kirchhoff’s Voltage Law (KVL)
Kirchhoff’s Current Law (KCL)
It states that “the algebraic sum of the currents in a junction of a circuit is zero.
(or)
The sum of current entering the junction is equal to the sum of the current leaving
the junction.
Explanation:
Consider 5 conductors carrying currents. Assume positive sign for the current flowing
towards the junction and negative sign for the current flowing away from the junction.
Let P is a junction
I1, I3, & I4 = incoming current towards the junction P
I2, & I5 = outgoing current away from the junction P
By applying Kirchhoff ’ s current law at junction P,
 I1 - I2 + I3 + I4 - I5 = 0
 I1 + I3 + I4 = I2 + I5
Sum of incoming current = sum of outgoing
current

Kirchhoff’s Voltage Law (KVL):

It states that in any closed electrical circuit, “the algebraic sum of voltage is zero”.
(OR)
That is the sum of voltage rises (EMF) in a closed network is equal to the sum of
voltages drops (P.D)

Explanation:

Consider a simple closed electrical circuit,
Let,
 E - Supply voltage
 R1, R2 & R3 - Resistors in the circuit.
 I - Current flow through the circuit
 V1 – p.d across R1
 V2 – p.d across R2
 V3 – p.d across R3
Applying Kirchhoff’s voltage law to the closed circuit,
 E - V1 - V2 - V3 = 0
 E = V1+V2+V3 ----------- (1)
 Substitute, V1 = I.R1, V2 = I.R2 & V3 = I.R3 in equation (1)
 E = IR1+IR2+IR3
 E - IR1 - IR2 - IR3 = 0 [Algebraic sum of voltages is zero]