Question

A uniformly charged ring of radius 10.0 cm has a total charge of 66.0 μC. Find the electric field on the axis of the ring at the following distances from the center of the ring. (Choose the x-axis to point along the axis of the ring.) (a) 1.00 cm Incorrect: Your answer is incorrect. î MN/C (b) 5.00 cm î MN/C (c) 30.0 cm î MN/C (d) 100 cm î MN/C

Answer 1

Solution :- given data

Ring of radius = 10 cm , total charge = 66.0 μC

(a) E = k * x * q / (x^2 + r^2)^(3/2)

E = (9 * 10^9 * 0.01 * 66 * 10^-6) / (0.01^2 + 0.1^2)^(3/2)

E = 5.852* 10^6 iN/C

= 5.852 î MN/C

b)

by using the same formula

E = (9 * 10^9 * 0.05 * 66 * 10^-6) / (0.05^2 + 0.1^2)^(3/2)

E = 21.25 * 10^6 i N/C

= 21.25 î MN/C

(C) here also

E = (9 * 10^9 * 0.3 * 66* 10^-6) / (0.3^2 + 0.1^2)^(3/2)

E = 5.635 * 10^6 N/C

= 5.635 î MN/C

d)

E = (9 * 10^9 * 1 * 66* 10^-6) / (1^2 + 0.1^2)^(3/2)

E = 0.2 * 10^6 N/C

= 0.2 î MN/C