Work done in bringing a charge from infinite.

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SUMMARY

The discussion centers on calculating the work done in bringing a 4 μC charge from infinity to point P, located at the center of an equilateral triangle formed by charges A (+7 μC), B (+6 μC), and C (-10 μC). The relevant equations include the work formula W = fd and Coulomb's law F = Kq1q2/r². To find the work done, participants must first determine the net force acting on the 4 μC charge at point P due to the other three charges, and then apply the work-energy principle to relate potential energy changes to work done.

PREREQUISITES
  • Coulomb's Law for calculating electric forces
  • Understanding of electric potential and potential energy
  • Basic knowledge of work-energy principles in physics
  • Familiarity with the concept of charges in electrostatics
NEXT STEPS
  • Calculate the net electric force at point P using Coulomb's Law
  • Learn about electric potential energy and its relation to work done
  • Explore the concept of bringing charges from infinity in electrostatics
  • Study the implications of charge interactions in an equilateral triangle configuration
USEFUL FOR

Students studying electrostatics, physics enthusiasts, and anyone interested in understanding electric forces and potential energy in multi-charge systems.

Dodgers31296
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Homework Statement


3 charges, A,B, and C are located at the vertices of an equilateral triangle. Point P is at the center of the triangle, and is 8 cm from each charge. Charge A is +7 μC. Charge B is +6 μC. Charge C is -10μC. If a 4μC charge is brought from infinite to point P, how much work was done in moving this charge to point p.


Homework Equations


W=fd
F= Kq1q2/r2


The Attempt at a Solution


I think you're supposed to use w=fd. And i can get the force with coulombs law, but i don't understand the charge being brought from infinite.
 
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Dodgers31296 said:

Homework Statement


3 charges, A,B, and C are located at the vertices of an equilateral triangle. Point P is at the center of the triangle, and is 8 cm from each charge. Charge A is +7 μC. Charge B is +6 μC. Charge C is -10μC. If a 4μC charge is brought from infinite to point P, how much work was done in moving this charge to point p.

Homework Equations


W=fd
F= Kq1q2/r2


The Attempt at a Solution


I think you're supposed to use w=fd. And i can get the force with coulombs law, but i don't understand the charge being brought from infinite.
How is electric potential related to potential energy?

How is the change in potential energy related to work done?
 

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