Question

Two nonconducting spheres 1 and 2 carry the same charge, and the magnitude of the electric force exerted by each sphere on the other is 0.2 Nwhen they are 90 mm apart.

Assignment 7 (Ch22 and Ch23) Question 9 of 13 ▼PartA Two nonconducting spheres 1 and 2 carry the same charge, and the magnitude of the electric force exerted by each sphere on the other is 0.2 N when they are 90 uapart What is the magnitude of the charge on each sphere, assuming each has a diameter much smaller than 10 ? Express your answer with the appropriate units. 4.24.10-7 Request Answer Submit What are the r and g components of the magnitude of the electric field 90 LLudirectly above sphere 1 if sphere 2 is located to the left of sphere 1? Assume that the positive z and y axes are directed to the right and upward, respectively. Enter your answers numerically separated by a comma. N/C Request Answer Submit - Part C Would your answers change if each sphere had a radius of 10 uu? Yes No Request Answer Submit Provide Feedback

Answer 1

a) Q_1 = Q_2 = Q From Coloumb's Law F = kQ_1 Q_2/r^2 0.2 = (9 times 10^9) times Q^2/(90 times 10^-3)^2 Q = 4.24264 times 10^-7 C b) theta = tan^-1(90/90) = 45 degrees x-component E_x = k Vertical-bar Q Vertical-bar /r_2^2 cos 45 E_x = (9 times 10^9)(4.24264 times 10^-7)/(squareroot (90 times 10^-3)^2 + (90 times 10^-3)^2)^2 cos 45 E_x = 1.6667 times 10^5 N/C y-component E_y = k Vertical-bar Q_1 Vertical-bar /r_1^2 + k Vertical-bar Q_2 Vertical-bar /r_2^2 sin 45 E_y = (9 times 10^9)(4.24264 times 10^-7)[1/(90 times 10^-3)^2 + sin 45/(squareroot (90 times 10^-3)^2 + (90 times 10^-3)^2] E_y = 6.3807 times 10^5 N/C c) NO