Net electric field-whats wromg with this?

  • Thread starter Thread starter nothingatall
  • Start date Start date
  • Tags Tags
    Electric Net
Click For Summary
SUMMARY

The discussion focuses on calculating the net electric field produced by two charged particles, -q = -8.00 × 10-19 C at x = -1.50 m and q = 8.00 × 10-19 C at x = 1.50 m, at point P located at y = 5.00 m. The correct approach involves using the formula E = kqcos(θ)/r2 to determine the x and y components of the electric field. The x component calculated was 7.58e-11 N/C, but the net field requires vector addition of both components, with the y component equating to zero due to cancellation. The final magnitude should be calculated using the Pythagorean theorem, resulting in the correct net electric field.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Familiarity with vector addition in physics
  • Knowledge of trigonometric functions, specifically cosine
  • Proficiency in using the formula E = kqcos(θ)/r2
NEXT STEPS
  • Review vector addition techniques for electric fields
  • Study the concept of electric field superposition
  • Learn about the significance of the angle θ in electric field calculations
  • Explore the implications of charge polarity on electric field direction
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand electric field calculations involving multiple charges.

nothingatall
Messages
19
Reaction score
0

Homework Statement


The figure shows two charged particles on an x axis: -q = -8.00 × 10-19 C at x = -1.50 m and q = 8.00 × 10-19 C at x = 1.50 m. What are the (a)x- and (b)y- components of the net electric field produced at point P at y = 5.00 m?




Homework Equations


E=kqcos(theta)/r^2



The Attempt at a Solution



I went through the tutorial to solve the problem and i got:
What is the magnitude of the x component of the field set up by particle 1 (or particle 2)?

Number 7.58e-11 Units N/C or V/m

-- that was correct but the question is what are the net components of the net field and i put in that number and its wrong. What step am i missing?
thanks.
 
Physics news on Phys.org
Hi nothingatall! :smile:

(have a theta: θ and try using the X2 tag just above the Reply box :wink:)
nothingatall said:
The figure shows two charged particles on an x axis: -q = -8.00 × 10-19 C at x = -1.50 m and q = 8.00 × 10-19 C at x = 1.50 m. What are the (a)x- and (b)y- components of the net electric field produced at point P at y = 5.00 m?

What is the magnitude of the x component of the field set up by particle 1 (or particle 2)?

Number 7.58e-11 Units N/C or V/m

-- that was correct but the question is what are the net components of the net field and i put in that number and its wrong. What step am i missing?

Perhpas I'm misunderstanding what you did, but don't you have to double it for two charges? :confused:
 
Well i got 7.58e-11 using E=kqcos(theta)/r^2; r=5.22 m distance bewteen particle 1 and point P and the field set up by particle 1 and point P was 2.64e-10. Then the tutorial mentions adding individual vectors to get the net field but should the 7.58e-11 value be the one I double?
 
(just got up :zzz: …)
nothingatall said:
… Then the tutorial mentions adding individual vectors to get the net field but should the 7.58e-11 value be the one I double?

Yes, you add the vectors to get the total field.

Alternatively, you can add the x components to get the x component of the total field (and the same for the y components).

If the x components of the two fields are the same, of course you can just double one of them.

If one's minus the other, then of course they add to zero.

Which is it in this case for the x components? And for the y components? :smile:
 
For the y-comp the answer was 0 because they cancel out. However I just doubled 7.58e-11 and i got 1.52e-10 and its wrong... Oh wait magnitude means do the Sqrt(7.58e-11^2+0^2) right?

Never mind its the same:(
 
Hi nothingatall! :smile:

(please use the X2 tag just above the Reply box :wink:)
nothingatall said:
For the y-comp the answer was 0 because they cancel out.

Yup! :smile: (I was just testing, of course :wink:)
However I just doubled 7.58e-11 and i got 1.52e-10 and its wrong... Oh wait magnitude means do the Sqrt(7.58e-11^2+0^2) right?

Never mind its the same:(
nothingatall said:
Well i got 7.58e-11 using E=kqcos(theta)/r^2; r=5.22 m distance bewteen particle 1 and point P and the field set up by particle 1 and point P was 2.64e-10.

Yes, 5.22 m is correct. :smile:

What values did you use for k and for cosθ ?
 
I used 8.99e9 for k and my theta= 73.3.
 
Ah I just add a negative to my 1.52e-10!

Thank you for your help!
 

Similar threads

Replies
14
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
7
Views
5K