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

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SUMMARY

The discussion focuses on calculating the electric field components at the center of a square with uniformly distributed electric charges. For a square with two adjacent sides positively charged with total charge +Q and the other two sides negatively charged with total charge -Q, the resultant electric field components can be derived using principles of symmetry and superposition. When all four sides carry a positive charge +Q, the electric field at the center can be computed similarly, leading to distinct x- and y-components. These calculations are essential for understanding the behavior of electric fields in geometrically symmetric charge distributions.

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  • Understanding of electric fields and charge distributions
  • Familiarity with vector addition in physics
  • Knowledge of Coulomb's law and its applications
  • Basic principles of electrostatics and symmetry in charge configurations
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  • Study the derivation of electric fields from continuous charge distributions
  • Explore the concept of electric dipoles and their field characteristics
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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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