Electric Field and the position of a charge

In summary, the electric field of a -10.0nC charge located at (2.0cm, 1.0cm) is -225,000i N/C. In order for the field to be pointing in the x-direction, the point at which it is measured must be along a line parallel to the x-axis passing through the charge. Therefore, the correct coordinates are (2.0cm, 0cm).
  • #1
dalson
4
0

Homework Statement



A -10.0nC charge is located at position (x, y) = (2.0cm, 1.0cm) . At what (x, y) position(s) is the electric field - 225,000i N/C?


Homework Equations


E = (Kq/r^2)*r(hat)


The Attempt at a Solution



r = sqrt(Kq/E) = .02m = 2cm
So coordinates are (0,-2)


I tried putting this answer into mastering physics online and it says it is incorrect. I can't seem to find what I have done wrong. Any help please?
 
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  • #2
Right away without calculating anything, I can tell you that since the electric field of a negative point charge points radially inward in all directions, the only way for the field to be pointing in the x-direction is if the point at which you are measuring the field is somewhere along a line that runs parallel to the x-axis and passes through the charge. Your answer cannot be right, because your point lies on the y axis.

Hint: r only tells you the distance of the point away from the charge...it does not specify in which direction.
 
  • #3
Yeah, you've got the right distance but the wrong location. You've even got the right idea, using the negative sign, but like cepheid says, the field points in the i direction.
 
  • #4
Ah, I get it now! Thank you very much!
 

FAQ: Electric Field and the position of a charge

What is an electric field?

An electric field is a physical quantity that describes the strength and direction of the electric force experienced by a charged object at any given point in space.

How is the electric field calculated?

The electric field is calculated by dividing the electric force acting on a charged object by the magnitude of the charge. It is also influenced by the distance between the two charged objects.

How does the position of a charge affect the electric field?

The position of a charge has a significant impact on the electric field. The closer the charged object is to another object, the stronger the electric field will be. As the distance between the objects increases, the electric field decreases.

What is the relationship between electric field and electric potential?

Electric potential is a measure of the electric field's ability to do work on a charged object. The higher the electric field, the higher the electric potential and the more work can be done on a charged object.

How does the direction of the electric field change with the position of a charge?

The electric field always points in the direction of the electric force on a positively charged object. However, for a negatively charged object, the electric field points in the opposite direction of the electric force. As the position of a charge changes, the direction of the electric field also changes accordingly.

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