Electric Field Corner homework problem

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SUMMARY

The discussion focuses on calculating the electric field at the fourth corner of a rectangle with positive charges at three corners: 3.00 nC, 5.00 nC, and 6.00 nC. The rectangle dimensions are 0.6 m in length and 0.2 m in width. The forces calculated using Coulomb's Law (F=K q/r^2) yield values of 675 n/C, 113 n/C, and 150 n/C for each charge. Participants emphasize the importance of vector addition to determine the resultant electric field and clarify the distinction between electric field (E) and force (F).

PREREQUISITES
  • Coulomb's Law for electric forces (F=K q1 q2/r^2)
  • Understanding of electric field calculations (E=K q/r^2)
  • Vector addition and component breakdown of forces
  • Basic knowledge of coordinate systems for vector representation
NEXT STEPS
  • Learn vector addition techniques for electric fields
  • Study electric field calculations in different geometries
  • Explore the implications of charge polarity on electric field direction
  • Review advanced applications of Coulomb's Law in electrostatics
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Students in physics, particularly those studying electromagnetism, as well as educators and anyone needing to solve electric field problems involving multiple point charges.

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Homework Statement


Positive charges are situated at three corners of a rectangle, as shown in the attachment. Find the electric field at the fourth corner.


the numbers are: bottom left- 3.00 nC bottom right-5.00 nC top right- 6.00 nC
the length of the rectangle is .6 m and the width is .2 m

Homework Equations



F=K q1/r^2

The Attempt at a Solution



I found all of the forces

F1= 9*10^9 (3*10^-9/.2^2) = 675 n/C

F2= 9*10^9(5*10^-9/.63^2) = 113 n/C

F3= 9*10^9(6*10^-9/.6^2) = 150 n/C

Then I know you have to combine vectors and get the answer, but that's what I'm having trouble doing.
Please help!
Thanks in advance:bugeye:
 

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Just a quick note, usually E is reserved for the field and F is for the force.
It is unclear to me as to whether the charges are positive or negative and this will determine the direction of the field. (your calculation seems to imply that they are all positive)
So once you have the magnitude of the individual components of the field, I would draw them on a vector diagram. Choose a coordinate system and break up each vector into components along each of the coordinate axes. Add like components to get the resultant field in components. Then you may express the final result in a variety of ways- leave it in components, express it as a magnitude and direction, etc.
 
Last edited:
Last edited:
Mentz114 said:
The force between 2 charges is given by

F = K q1 q2/r^2 and the field from a charge is E = K q / r

See here
http://en.wikipedia.org/wiki/Electric_field
Careful, you dropped a factor of r in the denominator for the field.
 

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