please answer all parts correct. A charge of 2.00 µC is uniformly distributed on

Question

please answer all parts correct.

A charge of 2.00 µC is uniformly distributed on a ring of radius 7.5 cm. Find the electric field strength on the axis at the following locations.

(a) 1.2 cm from the center of the ring
.... N/C

(b) 2.8 cm from the center of the ring
.... N/C

(c) 4.0 m from the center of the ring
.... N/C

(d) Find the field strength at 4.0 m using the approximation that the ring is a point charge at the origin.
.... N/C

(e) Compare your results for parts (c) and (d) by finding the ratio of the approximation to the exact result.

Explanation / Answer

a)

by using the formula

Ez = k * q * z / (z^2 + a^2)^(3/2)

Ez = (9 * 10^9 * 2 * 10^-6 * 0.012) / ( 0.012^2 + 0.075^2)^(3/2)

Ez = 4.9 * 10^5 N/C

b)

Ez = (9 * 10^9 * 2 * 10^-6 * 0.028 )/ ( 0.028^2 + 0.075^2)^(3/2)

Ez = 9.8 * 10^5 N/C

c)

Ez = (9 * 10^9 * 2 * 10^-6 * 4 )/ ( 4^2 + 0.075^2)^(3/2)

Ez = 1.12 * 10^3 N/C

d)

Ez = k * q /z^2

Ez = 9 * 10^9 * 2 * 10^-6 / 4^2

Ez = 1.125 * 10^3 N/C

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