A 1.25 AuC charge is uniformly distributed on a ring of radius 7.5 cm. Find the

Question

A 1.25 AuC charge is uniformly distributed on a ring of radius 7.5 cm. Find the electric field on the axis at 0.9 cm from the center of the ring. The value of the Coulomb constant is 8.99 x 10 N. m3/C2 Answer in units of N/C 004 (part 2 of 4) 10.0 points Find the electric field on the axis at 3 cm from the center of the ring. Answer in units of N/C 005 (part 3 of 4) 10.0 points Find the electric field on the axis at 4.5 m from the center of the ring. Answer in units of N/C 006 (part 4 of 4) 10.0 points Find the electric field on the axis at 4.5 m assuming that the ring is a point charge at the origin

Explanation / Answer

Elec field on a charged ring with Q charge at a distance x is KQx/sqrt((R^2 + x^2)^3) Putting in all the values (except 'x') E = 9*10^9*1.25*10^-6*x/sqrt((0.075^2 + x^2)^3) Now put in the values of x in the above expression. a) x=0.009m E = 234907.7 N/C b) x=0.03 E= 640328.75 N/C c)x= 0.045 E=756611.40 N/C D) Assuming ring is a point charge, E = KQ/x^2 = 5555555.5 (Funny answer, but I got like this :) ) Hope you got it :) Moral of the problem: The author of the problem wants to teel you that at very large x, compared to R, you can treat the ring as a point charge (But this isnt the case here, compare the answers of C and D, since 4.5 is of the order as the radius.)

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