Home
Class 12
PHYSICS
A charge q is placed st the centre of a ...

A charge q is placed st the centre of a spher. Taking outward normal as positive, find the flux of the electric field through the surface of the sphere due to the enclosed charge.

Text Solution

Verified by Experts

Let us take a small element `DeltaS` on the surface of the sphere (Figure 30.3(. The electric field here is radially outward and the magnitude.
`q/4piepsilon_0r^2`
where r is the rasius of the sphere. As the positive normal is also outward,`theta-0` and the flux though this part is
`DeltaPhi=vecEDeltavecS=q/4piepsilon_0r^2` DeltaS`.
Summing over the parts of the spherical surface,
`Phi=sumDeltaPhi=q/4Piepsilon_0r^2 sum DeltaS=q/4phir^1` 4phir^2=q/epsilon_0`.
Promotional Banner

Topper's Solved these Questions

  • GAUSS LAW

    HC VERMA ENGLISH|Exercise Work Out Exaples|8 Videos

  • GAUSS LAW

    HC VERMA ENGLISH|Exercise Objective 1|6 Videos

  • ELECTROMAGNETIC WAVES

    HC VERMA ENGLISH|Exercise Exercise|8 Videos

  • GEOMETRICAL OPTICS

    HC VERMA ENGLISH|Exercise Question For short Answer|18 Videos

Similar Questions

Explore conceptually related problems

A charge q is placed at the centre of the open end of a cylindrical vessel . The flux of the electric field through the surface of the vessel is

A charge 'Q' is placed at the centre of a hemispherical surface of radius 'R'. The flux of electric field due to charge 'Q' through the surface of hemisphere is

A charge Q is placed at the centre of a cube. Find the flux of the electric field through the six surfaced of the cube.

A charge q is placed at the centre of the cubical vessel (with one face a open) as shown in figure. The flux of the electric field through the complete vessel is

A charge of 8.85C is placed at the centre of a spherical Guassian surface of radius 5cm. The electric flux through the surface is

A charge Q is placed at the centre of an inaginary hemispherical surface. Using symmetry arguments and the Gauss's law, find the flux of the electric field due to this charge through the surface of the hemisphere (figure ).

A Charge Q is distributed uniformly on a ring of radius r. A sphere of equal r is constructed with its centre at the periphery of the ring (figure 30.12) Find the flux of the electric field through the surface of the sphere.

Find the flux of point charge q through the square surface ABCD as shown

Figure shows a charge q placed at the centre of a hemisphere. A second charge Q is placed at one of the positions A, B, C and D. In which position(s) of this second charge, the flux of the electric field through the hemisphere remains unchanged?

A charge q is located at the centre of a cube. The electric flux through any face is