A long cylindrical volume contains a uniformly distributed charge of dendity `rho`. Find the electric field at a point P inside the cylindrical volume at a distance x from its axis (figure 30-E5) ,

Explanation

Charge on the cylinder of radius x
`= rho pi (x^2) h `
We know,
` oint E.ds = q/epsilon_0`
` E.2 pi xh = (pi rho (x^2) h /epsilon_0)
or `E= rhox / 2 epsilon_0`.