Gauss Law Questions

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a shepere of radius ′a′ centred at the origin of the field, will be given by...

Let E1(r), E2(r) and E3(r) be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density λ, and an infinite plane with unifo...

Two non-conducting solid spheres of radii R and 2R, having uniform volume charge densities ρ1 and ρ2 respectively, touch each other. The net electric field at a distance 2R from the centre o...

The electric field intensity at a point located at distance r (r < R) from the centre of a spherical conductor (radius R) charged with charge Q will be

A square of side 20 cm is enclosed by a surface of sphere of 80 cm radius. Square and sphere have the same centre. Four charges 2 × 10-6 C, −5 × 10-6 C, −3 × 10-6 C, 6 &#215...

The electric field intensity at an internal point of a charged hollow metal container is -

If electric flux is emerging out from a Gauss′s surface then the surface will contain :

Two infinitely long parallel wires having linear charge densities λ1 and λ2 respectively are placed at a distance of R. The force per unit length of an either wire will be :-...

Two infinite plane, parallel sheets, separated by a distance d have equal and opposite uniform charge densities s. Eletric field at a point between the sheets is -

A solid metallic sphere has a charge + 3Q. Concentric with this sphere is a conducting spherical shell having charge -Q. The radius of the sphere is a and that of the spherical shell is b (b > a). ...

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 volts. The electric field at the centre of the sphere will be

The electric field, at a distance of 20 cm from the centre of a dielectric sphere of radius 10 cm is, 100 V/m. Then E at 3 cm distance from the centre of sphere is :-...

A cylinder of length L and radius R, whose axis is parallel to electric field. Find the total electric flux ejected from the surface of cylinder : -

If the electric flux entering and leaving an enclosed surface respectively is φ1 and φ2 the electric charge inside the surface will be...

A sphere of radius R, is charged uniformly with total charge Q. Then correct statement for electric field is (r = distance from centre) : -

A sphere of radius R and charge Q is placed inside an imaginary sphere of radius 2R whose centre coincides with the given sphere. the flux related to imaginary sphere is : -...

20 μC charge is placed inside a closed surface then flux related to surface is φ. If 80 μC charge is added inside the surface then change in flux is : -

A nonconducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre - (a) increases as r increases, for r < R(b) dec...

Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 μC/m, then the force acting on a unit length of each l...

The electric field in a region of space is given by E = (5î + 2ĵ)N/C. The electric flux due to this field through an are a 2m2 lying in the YZ plane, in S.I. units is : -...