A spherical charged conductor has surface charge density $\sigma $ . The electric field on its surface is $E$ and electric potential of conductor is $V$ . Now the radius of the sphere is halved keeping the charge to be constant. The new values of electric field and potential would be

Determine the electric field strength vector if the potential of this field depends on $x, y$ coordinates as $V=10$ axy

The potential $V$ is varying with $x$ and $y$ as $V\, = \,\frac{1}{2}\,\left( {{y^2} – 4x} \right)\,volt.$ The field at ($1\,m, 1\,m$ ) is

Two plates are $2\,cm$ apart, a potential difference of $10\;volt$ is applied between them, the electric field between the plates is………$N/C$