Question

Derive the ohm’s law equation

Answer 1

The derivation of Ohm's law is given as follows:

- According to Ohm's law, the electric current is directly proportional to the potential difference applied.

- So, if we apply a potential difference V across a conductor, then the current flowing through it will be I.

- Mathematically:

Potential difference ∝ Electric current

⇒ V ∝ I

⇒ V = I × R

- Here, R is a proportionality constant (that is Resistance of conductor).

Answer 2

In 1828, George Simon Ohm, a German physicist, derived a relationship between electric current and potential difference. This relationship is known as Ohm’s law.  

• Ohm’s Law states that the current flowing through a conductor is directly proportional to the potential difference applied across its ends, provided the temperature and other physical conditions remain unchanged.  

• Mathematically it can be represented  

Potential difference ∝ Current

 V ∝ I

V = I R  

• where constant of proportionality R is called the electric resistance or simply resistance of the conductor.