Question

Kirchhoff’s junction rule is a reflection of
A. Conservation of current density vectors.
B. Conservation of charge
C. The fact that the momentum with which a charged particle approaches a junction is unchanged (as a vector) as the charged particle leaves the junction.
D. The fact that there is no accumulation of charges at a junction.

Answer 1

Hint: Kirchhoff’s junction law states that the total current into the junctions equals the total current out of the junction. This law is also called Kirchhoff’s current law and also called the node rule. This law defines the relationship between the currents entering and leaving the junction.

Formula Used
\[{{I}_{in}}-{{I}_{out}}=0\]

Complete step-by-step solution:
From the given information, we have the data as follows.
Kirchhoff’s first law is also called Kirchhoff’s current law. This law is called by other names as junction law and node law. Kirchhoff’s current law states that the total current entering a junction or a node is equal to the current leaving the node.
The mathematical representation of the same is given as follows.
\[{{I}_{in}}-{{I}_{out}}=0\]
Thus, Kirchhoff’s junction rule is based on the law of conservation of charge and is a reflection of the fact that there is no accumulation of charges at a junction.
\[\therefore \]Kirchhoff’s junction rule is a reflection of the conservation of charge and the fact that there is no accumulation of charges at a junction, thus, options (B) and (D) are correct.

Note: There are two laws defined by Kirchhoff. They are Kirchhoff’s first law and Kirchhoff’s second law. Kirchhoff’s first law is also called Kirchhoff’s current law. Kirchhoff’s current law states that the total current entering a junction or a node is equal to the charge leaving the node. Kirchhoff’s second law is also called Kirchhoff’s voltage law. Kirchhoff’s voltage law states that the voltage around a loop equals the sum of each and every voltage drop in the same loop.