Electric field points with 3 charges

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Homework Help Overview

The problem involves calculating the electric field at a specific point due to three charges arranged along a horizontal line. The charges include two positive and one negative charge, and the task is to determine the electric field at a point located to the left of the middle charge.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculations for the electric fields generated by each charge and question whether to add or subtract these values based on the nature of the charges. There is also a suggestion to visualize the problem through a diagram.

Discussion Status

Participants are actively calculating the electric fields from each charge and discussing the signs and directions of these fields. Some guidance has been offered regarding the interpretation of the results and the importance of defining the direction of the electric field in their answers.

Contextual Notes

There is a mention of the need to consider the relative directions of the electric fields produced by the charges, as well as the importance of visual representation in understanding the problem setup.

rinarez7
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Homework Statement


Consider 3 charges along a horizontal line as shown:
8.72e-6 C (+) ___4.16cm____2.45e-6 C (+)______3.18cm_____-1.46e-6C (-)
The acceleration due to gravity is 9.8 m/s^2
The Coulomb Constant is 8.98755e 9 Nm^2/ C^2
What is the electric field at a point 2.18 cm to the left of the middle charge? Answer in units fo N/C


Homework Equations


Q1= 8.72e-6 C , r= .0198m (.0416m-.0218m)
Q2= 2.45e-6 C, r= .0218m

E1= k Q1 / r^2
E2= k Q2/ r^2

The Attempt at a Solution


I converted all of my units first to C and meters.
Then I solved for E1 and E2 separately.
Once I had E1 and E2, I added the two together. But I can't seem to get the right answer.
Am I supposed to subtract them instead becasue Q1 and Q2 are both positive and therefore will repel each other?
 
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don't you have 3 charges?

draw a picture & look at the relative directions of the field form each charge to decide whether to add or subtract
 
Last edited:
so I calculated E1 = 1.999e8, E2 as 4.633e5, and E3 as -3.657e6
Am I correct to say then that, E1 and E3 are negative (pointing to the left) and E2 is positive?
E1(+)<----X----->E2 (+)-----><------E3 (-)
 
sounds good, though unless its already given, you can define positive or negative anyway you like - you should specify this direction with your answer
 
Thank you!
 

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