A non-conducting spherical shell of radius R surrounds a point charge q (q at center). The electric flux through a cap of the shell of half angle `theta` is:

A spherical shell of radius R has a charge +q units. The electric field due to the shell at a point

A spherical shell of radius R has a charge +Q units. The electric field due to the shell at a point

A point charge q is placed at a distance d from centre of a uniformly charged conducting spherical shell of radius R and having charge Q as shown. Magnitude of electric field intensity at point P just inside the shell due to charge on shell is

A point charge Q is placed inside a conducting spherical shell of inner radius 3R and outer radius 5R at a distance R from the centre of the shell. The electric potential at the centre of the shell will be

A point charge Q is placed inside a conducting spherical shell of inner radius 3R and outer radius 5R at a distance R from the centre of the shell. The electric potential at the centre of the shell will be

A uniformly charged non-conducting spherical shell is given +q charge and a point charge -q is placed as shown. The electric field lines will be

A uniformly charged non-conducting spherical shell is given +q charge and a point charge -q is placed as shown. The electric field lines will be

A conducting shell of radius R carries charge -Q . A point charge +Q is placed at the centre. The electric field E varies with distance r (from the centre of the shell) as