Electric Flux

A thin straight infinitely long conducting wire having charge density λ is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.

Figure shows three point charges +2q, −q and + 3q. Two charges + 2q and −q are enclosed within a surface ‘S’. What is the electric flux due to this configuration through the surface ‘S’?

Write S.I unit of electric flux.

A hollow sphere of radius R has a point charge Q at its centre. Electric flux emanating from it is `phi`. If both the charge and the radius of the sphere are doubled, electric flux emanating from the sphere will ______.

What is the electric flux through a cube of side 1 cm which encloses an electric dipole?

What will be the total flux through the faces of the cube (figure) with side of length a if a charge q is placed at

1. A: a corner of the cube.
2. B: mid-point of an edge of the cube.
3. C: centre of a face of the cube.
4. D: mid-point of B and C.

Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is 8.0 × 10³ N m²/C.

1. What is the net charge inside the box?
2. If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?

The electric field in a region is given by `vec"E"` = 5 `hatk`N/C. Calculate the electric flux Through a square of side 10.0 cm in the following cases

1. The square is along the XY plane
2. The square is along XZ plane
3. The normal to the square makes an angle of 45° with the Z axis.