Question

The electric field of a point charge extends up to r where $\frac{1}{\mathrm{r}}$ is?

Answer 1

Electric field:

Whenever a charge is available in any manner, an electric attribute linked among each point in space is called the electric field.

The mathematical representation is shown below:

$\mathrm{E}=\frac{\mathrm{F}}{\mathrm{q}}$

E is the electric field.

F is the force exerted.

q is the electric charge.

Explanation:

1. Although any field is determined radially, the intensity to distance has an inverse square relationship. This indicates that the measure of, say, the potential is proportional to $\frac{1}{{\mathrm{r}}^2}$, implying that no matter how far you are from the field, there's still some impact from it, which declines exponentially.
2. The electric potential is derived from infinity because the fraction $\frac{1}{\mathrm{x}}$ is only $0$ when $\mathrm{x}=\mathrm{infinity}$ since the fraction goes to zero and the denominator approaches infinity.

Therefore, the electric field extends to infinity so $\frac{1}{\mathrm{r}}$ tends to zero.