What Is the Net Electric Field Midway Between Two Charged Particles?

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Homework Help Overview

The problem involves calculating the net electric field at a point midway between two charged particles: one negatively charged and the other positively charged, positioned along the x-axis. The original poster expresses confusion regarding the calculations and the application of the electric field formula.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the use of a test charge to visualize forces acting on it due to the two particles. There are attempts to clarify the concept of electric field versus electric force, as well as the correct method for drawing free-body diagrams. Questions arise about the midpoint calculation and the distances involved.

Discussion Status

Participants are actively engaging with the original poster's confusion, providing guidance on free-body diagrams and the principle of superposition. There is an ongoing exploration of the correct distances and the implications of signs in the calculations, but no consensus has been reached regarding the final answer.

Contextual Notes

There is mention of unit conversion issues, specifically the need to convert centimeters to meters for calculations. The discussion also highlights varying interpretations of how to approach the problem and the importance of understanding the direction of forces in the context of electric fields.

  • #61
Good...thats the magnitude of the net electric field...also, remember that it is pointing to the left (in the negative x-direction); so after adding the magnitudes, put a negative sign in front...so the net electric field is -.1665444.
1. Homework Statement
Two particles are fixed to an x axis: particle 1 of charge -3.50*10-7 C at x = 6.00 cm, and particle 2 of charge +3.50*10-7 C at x = 29.0 cm. Midway between the particles, what is their net ELECTRIC FIELD?

The question is not asking anything for Fe (electric force). Its asking for the net electric field, which you just found.
 
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  • #62
also astronuc i still don't get what lenghts? the length from each q to 11.5? or is it 11.5+11.5
 
  • #63
ooo okay gear300 so now i just plug in -.1665444. for R but if i use the equation e=kq /r^2 then there is only one Q so which q should i use?
 
  • #64
Just follow Gear300.

physicsbhelp said:
also astronuc i still don't get what lenghts? the length from each q to 11.5? or is it 11.5+11.5
I think one needs to become familiar with vectors and vector fields. The term length refers to magnitude, rather than simply distance.

Here's a simple tutorial on vectors - http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html#veccon

http://hyperphysics.phy-astr.gsu.edu/hbase/vbas.html (Basic concepts)


With respect to the Electric Force and Electric Field, see

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/mulpoi.html#c2
 
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  • #65
physicsbhelp...we found the answer to the problem...no need to plug anything else in. Thats the answer...there's nothing more...nada...none whatsoever...no continuation...thats the net electric field. E is the net electric field and E = -.1665444 N/C...thats what you were asked to get and you got it. No more worries.
Just do as Astronuc posted just now. Here are a few additional sites:
http://physics.bu.edu/~duffy/PY106/Electricfield.html
and also try looking up superposition in respect to electrical charges and gravitational forces
 
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  • #66
omg noooOOOOOOOOOOOOOOOOOOOO i typed in the answer that you just said and it was my last chance and we got it WRONG! now i have no more chances!
i got locked out. this was a big part of my grade, but thanks for helping even though we got it wrong.
 
  • #67
...oh well...but at least you should have grasped the concept.
 
  • #68
Okay. I leave for an hour and all hell breaks lose! You probably need to open your text and do some reviewing here since you seem to be missing the important concepts. This is basic vector addition that is used throughout all of physics.

By drawing the free-body diagram of the electrostatic forces acting on a positive test charge located midway between q1 and q2, one would have realized that both forces are pointing leftward.

By definition, the magnitude of an electric field due to a point charge is E=\frac{k|q_n|}{r^2} and the direction is that of the

electrostatic force.

The net electric field is the summation of all its constituent parts.

E_{net}=\sum_1^nE_n[/itex] <br /> <br /> Since both point leftwards <br /> <br /> E_{net}=-\frac{kq_1}{r^2}-\frac{kq_2}{r^2} where r is in meters<br /> <br /> \Rightarrow E_{net}=-\frac{(8.99\cdot 10^9)(3.5\cdot 10^{-7})}{(11.5\cdot 10^{-2})^2}-\frac{(8.99\cdot 10^9)(3.5\cdot 10^{-7})}{(11.5\cdot 10^{-2})^2}=-476\frac{kN}{C}
 
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