question_answer

Kirchhoffs law of junction, \[\sum I=0,\] is based on:

A)  conservation of energy

B)  conservation of charge

C)  conservation of energy as well as charge

D)  conservation of momentum

Correct Answer: B

Solution :

 Kirchhoffs first law states that in an electric circuit, the algebraic sum of the currents meeting at any junction in the circuit is zero i.e., \[\Sigma i=0\] Hence, according to Kirchhoffs law \[{{i}_{1}}+{{i}_{2}}={{i}_{3}}+{{i}_{4}}+{{i}_{5}}\] Thus, the sum of currents flowing towards the junction is equal to the sum of the currents flowing away from the junction. In other words, when a steady current flows in a circuit, then there is neither any accumulation of charge at any point in the circuit, nor any charge is removed from there. Thus, Kirchhoffs first law expresses the conservation of charge.