A solid cylinder of radius 1.5 m has a uniform volume charge density of 15 C/m3. Find the magnitude of the electric field at 1.25 m from the axis of the cylinder.
a) what will your gaussian surface be? Make a sketch of the solid cylinder and the gaussian surface with their radii.
b) Write an expression for the total electric flux through the gaussian surface, that is the LHS (Left hand side) of the Gauss' law (this expression may contrain a quantity you may need to define but you don't know its value).
c) Write the total charge enclosed by the Gaussian surface divided by the dielectric constant (this expression may contain a quantity you may need to define by you don't know its value).
d) use Gauss' law to obtain the final expression and numeric value (with units) for the required electric field.