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 a<b<c . \(A\) and \(B\) are connected whereas C is grounded The potential of the middle sphere \(B\) is raised to \(V\) then what is the charge...
Potential of Metal Sphere

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...