Question

What is Ohm's Law graph?

Answer 1

Ohm's Law:

1. Ohm’s law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant.
   $$\begin{gathered} \mathrm{Potential}\mathrm{difference}\propto \mathrm{current} \\ \mathrm{V}\propto \mathrm{I} \end{gathered}$$
2. To eliminate the proportionality a constant $\mathrm{R}$ is introduced. So,
   $$\begin{gathered} \mathrm{Potential}\mathrm{difference}=\mathrm{resistance}\times \mathrm{current} \\ \mathrm{V}=\mathrm{RI} \end{gathered}$$

Ohm's Law Graph:

1. Plotting a graph taking current $\left(\mathrm{I}\right)$ along $\mathrm{Y}$-axis and voltage $\left(\mathrm{V}\right)$ along $\mathrm{X}$-axis
   By Ohm's law, $\mathrm{V}=\mathrm{RI}$ …..(1)
   This equation is of the form $\mathrm{y}=\mathrm{mx}+\mathrm{c}$ ……(2) which is a straight line equation, where $\mathrm{m}$ is slop and $\mathrm{c}$ is constant.
2. By comparing equation (1) and equation (2), we get to know
   For $\mathrm{Y}$-axis, $\mathrm{y}=\mathrm{V}\left(\mathrm{potential}\mathrm{difference}\right)$
   For $\mathrm{X}$-axis, $\mathrm{x}=\mathrm{I}\left(\mathrm{current}\right)$
   The slope, $\mathrm{m}=\mathrm{R}\left(\mathrm{resistance}\right)$

Hence, Ohm's law graph is a straight line.