Calculating Net Electric Field

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Homework Help Overview

The problem involves calculating the net electric field at a specific point due to two charges located on the x-axis. The charges are given as one positive and one negative, and their respective positions are specified. The context is rooted in electrostatics and Coulomb's Law.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss calculating the electric fields produced by each charge and the method of combining them. Questions arise regarding the interpretation of charge notation and the directionality of electric fields.

Discussion Status

Some participants have provided insights into potential misunderstandings regarding charge notation and the calculation of electric field direction. There is an ongoing exploration of the correct application of Coulomb's Law and the implications of charge signs on the resulting electric fields.

Contextual Notes

There is mention of a possible confusion regarding the notation for micro-Coulombs and milli-Coulombs, as well as the need to clarify the direction of electric fields in relation to test charges. The discussion reflects uncertainty about the correct interpretation of the problem setup.

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Homework Statement



Two charges are placed on the x axis. One charge (q1 = +8.36mC (microC)) is at x1 = +2.74cm and the other (q2 = -20.2mC (microC)) is at x1 = +9.05cm. Calculate the net electric field at x = 0cm.

Homework Equations


E= kq/r^2


The Attempt at a Solution


I tried calculating the electric field at that point for both charges and then tried adding them together. There was another topic with a very similar question, and that is the solution that was reached, but it doesn't work for this problem.
 
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It should work for this problem. One possible mistake: mC usually means milli-Coulombs, and [itex]\mu[/itex]C usually means micro-Coulombs
 
I think the mC meaning microC is just my weird homework interface.
When I calculate the individual electric fields, is q always positive? I know it is in Coulomb's Law calculations.
 
No, in Coulomb's law calculations, you only get the magnitude of the electric field. You must decide on what direction it is in. (Or you can use the full vector form of the Coulombic force, which tells you the direction).

EDIT: Well, I should have said yes, q is always positive, because then this gives the magnitude of the electric field. But I meant no, the electric field isn't always positive.
 
Ok, so
E1= http://www.texify.com/img/%5CLARGE%5C%21%288.987E9N/C%2A8.36E-6C%29/.0274%5E2m.gif
E1= 1.0007E8 N/C
E2= http://www.texify.com/img/%5CLARGE%5C%21%288.987E9N/C%2A20.2E-6C%29/.0905%5E2m.gif
E2= -2.216E-7 N/C
And Enet = E1+E2
Enet= 7.79E7N/C
But that wasn't right.
Am I correct using the two charges given in the problem as q? Or does q actually refer to a test charge I have to make up?
Edit: Oh, and I realize that N/C is not the unit for k, but that doesn't make a difference if I know the units for electric field.
 
Last edited by a moderator:
E1 should be negative of what you've got. and E2 should be negative of what you've got. Remember, the electric field is defined as going in the direction that a positive test charge would be forced. And yes, q refers to the charges given in the problem.
 

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