Question

Can an electric field exist in empty space?

Answer 1

Hint : A physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is referred to as an electric field. It can also refer to a system of charged particles' physical field. Electric fields are created by electric charges or magnetic fields that change over time. The electromagnetic force, one of nature's four basic forces (or interactions), manifests itself in both electric and magnetic fields.

Complete Step By Step Answer:
To derive the integral form of Maxwell's Equation No.1, imagine that an experiment is set up so that each of Gauss' law equations contains the same charge of q coulombs. The integrals resulting from the same charge must therefore be equal. The effective electric field via a surface enclosing a volume is equal to total charge within the volume, according to this equation. The area encompassed by the left hand integral must enclose the volume of the right integral, according to the equation. This is comparable to saying that a ball's or box's surface area encloses the volume of the ball or box. The area and volume specified by the equations do not have to represent actual surfaces; they are frequently mathematical limitations.
$q = \int_0^V {\rho dV}$
We included the infinitesimal values of area and volume, da and dv, in the integral form of Gauss' Law. To calculate instantaneous rates of change of distance and velocity with respect to time, we use the differential, ds, dv, and dt. Yes, an electric field exists in empty space, according to Maxwell's equations.

Note :
Maxwell was the first to calculate the speed of propagation of electromagnetic waves to be the same as the speed of light, resulting in the conclusion that EM waves and visible light are equivalent. Along with the Lorentz force law, these are the set of partial differential equations that constitute the foundation of classical electrodynamics, electric circuits, and classical optics. Modern communication and electrical technology are highlighted in these sectors.