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Consider a uniformly charged cylinder (radius R, height H, charge density ?). Im

ID: 2008247 • Letter: C

Question

Consider a uniformly charged cylinder (radius R, height H, charge density ?). Imagine it at the center of a mathematical cube (sides of length L). Calculate the flux of the electric field created by the cylinder through the surface of the cube. How would you answer change if H became greater than L? what can you say about the fluz through the top (parallel to the ends of the cylinder) surface, as compared to that through one of the vertical (parallel to the axis of the cylinder) faces; in particular, how do they compare as H and R vary in size?

Explanation / Answer

the net flux through the surface is equal to the the charge enclosed/epsilono the charge enclosed depends on the charge density when we increase the height of the cylinder then the flux through the surface does not change once the H becomes greater than L b)the field is 0 inside the the cylinder and hence the flux in the horizontal faces is less than vertical face c)once R decreases the difference between the flux through vertical faces and horizontal faces decrease