Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

if some one can do A and B Special Problem 5 a) For which of the following charg

ID: 1574302 • Letter: I

Question

if some one can do A and B

Special Problem 5 a) For which of the following charge distributions can Gauss' Law be used to determine the electric field near the distribution? i) Along rod (may be considered infinite) with a uniform charge distribution i) A circular ring with a uniform charge distribution ii A square ring with a uniform charge distribution iv) A point charge near a large plane (may be considered infinite) with a uniform ) A point charge at the center of a uniformly charged spherical shell i A large slab (may be considered infinite in two dimensions) with a unifom vi Alarge slab (may be considered infinite in two dimensions) with a unifom charge distribution A point charge at the center of a uniformly charged cube volume charge density surface charge density A rod extends along the x-axis from x=0 to = and has a uniform charge per length, . Can the electric field at 0,y be determined by applying Gauss' Law for an infinite rod and dividing by 2? Explain why or why not

Explanation / Answer

Part (a)

For the following cases, one can apply Gauss's law : (i), (v), (vii), (viii).

Part (b)

No, one can not use Gauss's law here and divide by 2 to get the electric field. This is because in the full infinite rod case, due to symmetry, the electric field component in the direction parallel to the rod is zero. But in semi-infinite rod case this component is non-zero.