Ohm's law in point form in field theory can be expressed as

Question

Question

This question was previously asked in

UPPSC AE Electrical 29 May 2022 Official Paper I

Answer 1

CONCEPT:

Ohm's law: At constant temperature, the potential difference across a current-carrying wire is directly proportional to the current flowing through it.

⇒ V = IR

Where V is the potential difference, R is resistance and I is current

The conductors generally obey the ohm's law
Ohm's law in point form or vector form: The vector form of Ohm’s law is used in electromagnetics and material science.
The vector form is also known as the point form of Ohm's law.

⇒ J = σE

Where J is the current density, E is the electric field and σ is conductivity.

EXPLAINATION:

From the above discussion, it is clear that the ohms law in point or vector for is given by

⇒ J = σE