Charge is distributed uniformly throughout the volume of an infinitely long solid Cylinder of radius R what is the electric field when r < Select one : O a . Zero O b . E = / 2 € d . E = pr / 2 € O e . E = / 2 €

Solution :

Let us consider the Gaussian surface that is in the form of a cylinder having a radius of r and a length of A which is .

The charged enclosed by the cylinder is given by,

      (here, V =  is the volume of the cylinder)

If is positive, then the electric field lines moves in the radial outward direction and is normal to Gaussian surface which is distributed uniformly.

Therefore, total flux through Gaussian cylinder is :

Now using Gauss' law, we get

or

Therefore, the electric field is

Hence, option (d) is correct.

number of electrons for neutral cl