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## Electric Field from Electric Potential

If the electric potential is given by $$\chi=cxy$$, calculate the electric field. Discussion: $$E_x=-\frac{\partial\chi}{\partial x}=-cy$$ $$E_y=\frac{\partial \chi}{\partial y}=-cx$$ Hence electric field ...

## Three Charged Spheres

Consider three concentric metallic spheres $$A$$, $$B$$ and $$C$$ of radii of $$a$$, $$b$$, $$c$$ respectively where...

## Potential of Metal Sphere

A metal sphere having a radius $$r_1$$ charged to a potential $$\phi_1$$ is enveloped by a thin-walled conducting spherical shell of radius $$r_2$$. Determine the potential $$\phi_2$$ acquired by the sphere after it has been connected for a short time to the shell by...