E ∝ 1/d^2
Where:
E represents the electric field strength
d represents the distance from the source charge
This relationship can be understood by considering the behavior of electric field lines. Electric field lines are imaginary lines that represent the direction and strength of the electric field at a given point. The closer the electric field lines are to each other, the stronger the electric field is. Conversely, the farther apart the electric field lines are, the weaker the electric field is.
As the distance from the source charge increases, the electric field lines spread out, resulting in a decrease in the electric field strength. This is analogous to the way light intensity decreases as the distance from a light source increases. The farther you move away from a light source, the dimmer the light becomes.
The inverse square law relationship between distance and electric field strength is important in understanding various phenomena in electromagnetism, such as the behavior of electric fields around charged particles, the force between charged objects, and the operation of electrical devices like capacitors and resistors.
