Question

Kirchhoff's first law, which is given as $\sum{i=0}$ at a junction, deals with the conservation of
A. momentum
B. angular momentum
C. charge
D. energy

Answer 1

Hint: Kirchhoff’s first law is given as the algebraic sum of the total current entering a junction is exactly equal to the current leaving the junction. Conservation of charge is stated as neither a charge can be created nor destroyed. These all will help us in finding the answer to these questions.

Complete step by step solution:
First of all let us discuss Kirchhoff’s first law, which is otherwise known as Kirchhoff’s current law. It states that the total current or charge entering a junction or a node is exactly equivalent to the charge leaving the node. Since it is not having any other points to go or to leave, therefore no charge has been lost from the junction. Therefore as the current law speaks about the current entering or leaving a junction which is ultimately positive or negative charges, we can conclude that Kirchhoff’s first law is having a basis in the conservation of momentum.

Hence the correct answer is given as option C.

Note: Kirchhoff's laws have been used to make us understand how current and voltage perform in a circuit. They are also helpful in analyzing the complex circuits that are not reduced to one equal or similar resistance with whatever we know about the series and parallel resistors. Kirchhoff’s current law is applicable to any kind of lumped network without taking consideration of the nature of the network, whether it is unilateral or bilateral, active or passive, and linear or nonlinear. Kirchhoff’s current law is only valid as long as the energy conservation has already been done.