Find the charge's location

  • Thread starter Brit412
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  • #1
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Homework Statement


The electric field at the point x=5.0cm and y=0 points in the positive x direction with a magnitude of 10.0N/C. At the point x=10.0cm and y=0, the electric field points in the positive x direction with a magnitude of 16.0 N/C. Assume this electric field is produced by a single point charge.
Find the charge's location

Homework Equations


E= kq/r^2



The Attempt at a Solution


So my teacher substituted (x-5) for r^2 and got a quadratic equation. I solved for the quadratic but I'm not getting the right answer.
 

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
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Using the Coulomb's e field relationship you should be able to directly relate the 2 field values such that

16*X2 = 10*(X+5)2

The product of the distance squared times the field = the same thing.

The one that is further away will have a smaller |E|.
 
  • #3
I am having the same problem. Yet out of Coulomb's e Field relationship I get the related field values however when I plus in the appropriate X values they are not equal. I agree that one is further away however that does not determine the charges location.

Thanks much!
 
  • #4
LowlyPion
Homework Helper
3,090
4
I am having the same problem. Yet out of Coulomb's e Field relationship I get the related field values however when I plus in the appropriate X values they are not equal. I agree that one is further away however that does not determine the charges location.

Thanks much!
Welcome to PF.

Be careful in what X represents. It is the distance along the X axis from 10 cm. So the location of the charge if that's what you are looking for is at 10 + X cm.
 

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