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Question

State the two Kirchhoff's laws. Explain briefly, how these rules are justified?

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Solution

Kirchhoff's first rule ( Kirchhoff's Current Law or KCL or Junction Rule) :

It state that, the sum of the currents flowing towards a junction is equal to the sum of currents leaving the junction.

This is in accordance with the conservation of charge which is the basis of Kirchhoff's current rule.

I1+I2-I3-I4-I5=0

"In an electric network, the algebraic sum of currents meeting at a junction is always zero".

∑ I =o

Kirchhoff's second rule ( Kirchhoff's Voltage Law or KVL Loop rule ) :

It states that the algebraic sum of all potential drops and emfs along any closed path in a network is zero.

OR

The algebraic sum of the emfs in a loop of a circuit is equal to the algebraic sum of the product of current and resistances in it.

Mathematically, the loop rule may be expressed as :

∑ E = ∑IR


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