Question

The electric potential in a region is given by $V(x,y,z)=a{x}^2+a{y}^2+ab{z}^2$, ' $a$ ' is a positive constant of appropriate dimensions and $b$, a positive constant such that $V$ is volts when $x,y,z$ are in $m$. Let $b=2$. The work done by the electric field when a point charge $+4\mu C$ moves from the point $(0,0,0,1m$ ) to the origin is $50\mu J$. The radius of the circle of the equipotential curve corresponding to $V=6250$ volts and $z=\sqrt{2}m$ is $\alpha m$. Find ${\alpha }^2$.

Answer 1

Answer: 3.00