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Electric Force and Charged Spheres 
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#1
Jan1007, 12:48 PM

P: 484

1. The problem statement, all variables and given/known data
Consider the following configuration of fixed, uniformly charged spheres on an xy coordinate system: ·a blue sphere fixed at the origin with positive charge q. ·a red sphere fixed at the point (d1,0) with unknown charge q_red, ·a yellow sphere fixed at the point (d2*cos theta, d2*sin theta) with unknown charge q_yellow. The net electric force on the blue sphere is observed to be vector F = (0,F), where F>0 . Here is a makeshift sketch: O = charged particle O_(q)___________O (d1, 0) q_red \ \ \O (d2*cos theta, d2*sin theta) q_yellow in which the dotted line between q at (0,0) and q_yellow is d2 and theta = angle between d2 and the xaxis (The x axis is depicted by __________ pattern.) What is the sign of the charge on the yellow sphere? What is the sign of the charge on the red sphere? 2. Relevant equations Possibly Coulomb’s Law: F_mag = (k*q1*q2)/(r^2), where k = 8.988 * 10^9 N*m^2/C^2 3. The attempt at a solution The ycomponent of the electric force is –F. The q_red particle does not have a ycomponent; it only has an xcomponent. The q_yellow charge has a ycomponent. If a – sign follows, then the q_yellow chage is positive since – indicates repulsion???? Is the q_red charge negative? If the electric force’s xcomponent is 0, then q_red’s xcomponent must be negative if q_yellow’s xcomponent is positive??? Thanks. 


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