Calculating Electric Forces and Fields for Multiple Point Charges

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SUMMARY

The discussion focuses on calculating the electric forces and fields for multiple point charges positioned at the corners of a rectangle measuring 30 cm by 40 cm, with each charge valued at 1.2x10^-3 C. The user has derived the distance to the center of the rectangle as 0.5 m and calculated the electric force on one charge using Coulomb's Law, yielding forces of 144,000 N at 90 degrees, 81,000 N at 0 degrees, and 51,840 N at 36.87 degrees. The user seeks assistance in determining the resultant forces and angles for each charge in the configuration.

PREREQUISITES
  • Coulomb's Law for electric forces
  • Vector addition of forces
  • Trigonometric functions for angle calculations
  • Understanding of electric fields and potentials
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  • Learn vector addition techniques for multiple forces
  • Study electric field calculations for point charges
  • Explore the concept of electric potential in electrostatics
  • Review the application of trigonometric functions in physics problems
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soccerdude28
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A charge of 1.2x10^-3C is fixed at each corner of a rectangle that is 30cm wide and 40cm long. What is the magnitude and direction of the electric force on each charge? What is the electric field and the electric potential at the centre?

This is the question i am currently trying to solve. This is what i have so far.

sqr(0.3^2+0.4^2) = 0.5
tan(0.3/0.4)= 36.87 degrees

Vector force on q1 upper right:
9*10^9*(1.2*10^-3)^2/(0.3)^2 = 144000 N @90
+
9*10^9*(1.2*10^-3)^2/(0.4)^2 = 81000 N @0
+
9*10^9*(1.2*10^-3)^2/(0.5)^2 = 51840 N @36.87
=

Adding the vectors, i now need to know how to find the forces of each charge and the cooresponding angles. Any help will be appreciated.
 
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