Physics - Electrostatics Question with Solution | TestHub

The electric potential in a region is given by $\mathrm{V}(\mathrm{x},\mathrm{y},\mathrm{z})=\mathrm{ax}2+\mathrm{ay}2+\mathrm{abz}2$. ' a ' is a positive constant of appropriate dimensions and b , a positive constant such that V is volts when $\mathrm{x},\mathrm{y},\mathrm{z}$ are in m . Let $\mathrm{b}=2$. The work done by the electric field when a point charge $+4\mu \mathrm{C}$ moves from the point $(0,0,0.1\mathrm{m})$ to the origin is $50\mu \mathrm{J}$. The radius of the circle of the equipotential curve corresponding to $\mathrm{V}=6250$ volts and $\mathrm{z}=\sqrt{2}\mathrm{m}$ is $\alpha \mathrm{m}$. Fill ${\alpha }^2$ in OMR sheet.