What is Gauss’s Theorem ?

What is Gauss’s Theorem ?

Gauss’s Theorem Definition

Gauss’s theorem states that the total electric flux through any closed surface is equal to the net positive charge enclosed by that surface.

Flux and Charge

The flux from an electric charge depends on the quantity of the charge.

Mathematical Expression

Gauss’s theorem is expressed mathematically using a surface integral involving flux density and the outward vector.

Component Flux

If a charge is not at the center, the flux lines resolve into horizontal and vertical components.

Total Flux Calculation

The total electric flux through a closed surface equals the total charge, proving Gauss’s theorem.