What Are the Electric Field Components at the Center of a Charged Square?

AI Thread Summary
The discussion focuses on calculating the electric field components at the center of a charged square with uniform charge distribution. For the first scenario, two adjacent sides are positively charged and two are negatively charged, leading to a specific resultant electric field at the center. In the second scenario, all four sides are positively charged, which alters the resultant electric field components. Additionally, the thread touches on the force and torque experienced by a point charge near a dipole, emphasizing the importance of understanding these concepts in electricity and magnetism. The participants aim to guide each other in solving these physics problems rather than providing direct answers.
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Electricity and Magnetism urgent!help!

11. Electric charge is distributed uniformly along each side of a square. Each side of the square has length a. Two adjacent sides have positive charge with total charge +Q on each.
(i) If the other two sides have negative charge with total charge –Q on each, what are the x- and y-components of the resultant electric field at the center of the square?
(ii) Repeat the calculation of part (i) if all four sides have positive charge +Q.


12. A point charge is distance from the center of a dipole consisting of charges separated by distance . The charge is located in the plane that bisects the dipole. At this instant, what are (a) the force (magnitude and direction) and (b) the magnitude of the torque on the dipole? You can assume r >> s .
 
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