Question

Which of the following equations represents the Gauss'law in a homogenous isotropic medium?

• A. $\iint \overrightarrow{D}.d\overrightarrow{s}=\iiint {\rho }_{v}dv$
• B. $\overrightarrow{▽}\times \overrightarrow{H}=\overrightarrow{D}$
• C. $▽.\overrightarrow{J}+\rho =0$
• D. $▽.\overrightarrow{E}=\frac{\rho }{\epsilon }$

Answer 1

The correct option is A $\iint \overrightarrow{D}.d\overrightarrow{s}=\iiint {\rho }_{v}dv$

Gauss Law : The electric flux passing through any closed surface is equal to the total charge in the volume enclosed by the surface i.e.

$\iint \overrightarrow{D}.d\overrightarrow{s}=\iiint {\rho }_{v}dV.$