Question

State Ohm's law and derive the mathematical expression for it.

Hint:

The formula \(V = IR\) can also be rearranged as: \[ I = \frac{V}{R}, \qquad R = \frac{V}{I} \]

Answer 1

Concept: The relationship between electric current, potential difference, and resistance in an electric circuit is explained by Ohm's Law. It was proposed by the German physicist Georg Simon Ohm.
Step 1:Statement of Ohm's Law} Ohm's law states that the current (I) flowing through a conductor is directly proportional to the potential difference (V) across its ends, provided the temperature and other physical conditions remain constant. \[ I \propto V \]
Step 2:Introducing the constant of proportionality} To convert the proportionality into an equation, we introduce a constant called resistance (R). \[ V \propto I \] \[ V = IR \] where \(V\) = Potential difference (in volts)
\(I\) = Electric current (in amperes)
\(R\) = Resistance (in ohms)
Step 3:Final mathematical expression} Thus, the mathematical expression of Ohm's law is: \[ \boxed{V = IR} \] This equation shows that the potential difference across a conductor is equal to the product of the current flowing through it and its resistance.