Net electric field-whats wromg with this?

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Homework Help Overview

The problem involves calculating the net electric field produced by two charged particles located on the x-axis at specific coordinates. The original poster seeks to determine the x- and y-components of the electric field at a point located above the x-axis.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of electric field components using the equation E=kqcos(theta)/r^2 and question the correct approach to summing the contributions from both charges.
  • There is confusion regarding whether to double the calculated x-component for both charges and how to handle the cancellation of y-components.
  • Some participants explore the implications of vector addition for the net electric field.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and questioning the steps taken. Some have provided guidance on vector addition and the significance of magnitude in the context of electric fields. There is no explicit consensus on the correct approach yet.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may impose specific methods or assumptions that are being questioned throughout the discussion.

nothingatall
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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.
 
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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!
 

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