Electric Field Corner homework problem

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Homework Help Overview

The problem involves calculating the electric field at one corner of a rectangle where positive charges are located at the other three corners. The charges and their respective positions are specified, along with the dimensions of the rectangle.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the electric field contributions from each charge but expresses difficulty in combining these vectorially. Some participants question the clarity of charge signs and suggest drawing vector diagrams to aid in understanding the direction of the electric field.

Discussion Status

Participants are actively discussing the calculations and the need for clarity regarding the signs of the charges. Guidance has been offered on how to approach vector addition of the electric field components, but there is no explicit consensus on the method to combine the vectors.

Contextual Notes

There is a note regarding the potential confusion between force and electric field notation, as well as a correction about the formula used for the electric field, indicating a possible misunderstanding in the original poster's calculations.

kitty9035
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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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