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

Click For Summary
SUMMARY

The discussion centers on calculating the net electric field midway between two charged particles: particle 1 with a charge of -3.50 x 10-7 C located at 6.00 cm, and particle 2 with a charge of +3.50 x 10-7 C at 29.0 cm. The correct method involves using the formula for electric field, E = kQ/R2, where k is Coulomb's constant (8.99 x 109 N m2/C2). The midpoint is determined to be 17.5 cm from the origin, and the distances from each charge to the midpoint are both 11.5 cm. The participants emphasize the importance of vector addition and the principle of superposition in calculating the net electric field.

PREREQUISITES
  • Understanding of electric fields and forces, specifically E = kQ/R2
  • Familiarity with vector addition and the principle of superposition
  • Knowledge of charge types (positive and negative) and their effects on electric fields
  • Ability to convert units, particularly from centimeters to meters
NEXT STEPS
  • Study the concept of electric fields and forces in detail, focusing on E = kQ/R2
  • Learn about vector addition and how to apply it in physics problems involving multiple forces
  • Explore the principle of superposition in electric fields and forces
  • Practice converting units and applying them in physics equations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand electric fields and forces between charged particles.

  • #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.
 
Physics news on Phys.org
  • #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
 
Last edited:
  • #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
 
Last edited:
  • #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}
 
Last edited:

Similar threads

Replies
14
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
12
Views
2K
Replies
1
Views
2K
Replies
4
Views
3K
Replies
2
Views
3K
Replies
9
Views
817
  • · Replies 10 ·
Replies
10
Views
3K