Question

An electric flux density vector is given by $\overrightarrow{D}=\widehat{a_x}\sin y+\widehat{a_y}y\left(C/m^2\right)$. The volume charge density is given by ____$C/m^3$.

• A. 1

Answer 1

The correct option is A 1
Given, $\overrightarrow{D}=\widehat{a_x}\sin y+\widehat{a_y}y$

$\nabla .\overrightarrow{D}={\rho }_v$

Hence, ${\rho }_v=\nabla .\overrightarrow{D}=\frac{\partial D_x}{\partial x}+\frac{\partial D_y}{\partial y}+\frac{\partial D_z}{\partial z}=0+1+0=1C/m^3$