Question

Problem 5 Compute the total charge inside in a cylinder of length h and radius Rcy, when ρ(R) αR. Use the result to compute the electric field produced by the cylinder at points outside the cylinder (rRcyl). Note that since > Rcyl, the Gaussian surface (with radius r) encloses all the charge in the cylinder. State the direction of the electric field inside and outside the cylinder when a > 0, that is, when the cylinder carries positive charge. Problem 6 Find the charge enclosed by a Gaussian surface as a function of its radius, r, when p(R) R for the case of r< Royl. Since r Rcyl, a Gaussian surface with radius r encloses only part of the cylinder's charge. Use the result with the rest of Gauss's Law to compute the magnitude of the electric field inside the cylinder as a function r for r< Rcyl

Answer 1