Ranking the force of point charges

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Homework Help Overview

The problem involves five point charges with varying magnitudes and signs, positioned near an insulating spherical shell with a uniformly distributed positive charge. The objective is to rank the point charges based on the magnitude of the force exerted on them by the spherical shell, using Coulomb's law.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss applying Coulomb's law to determine the forces on each charge and compare their magnitudes. There is uncertainty about which values to use for the charges and how to account for distances from the sphere. One participant attempts to substitute values into the force equations but expresses confusion about how to rank the results.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to applying Coulomb's law. Some guidance has been offered regarding the use of Gauss's law, though not all participants are familiar with it. Multiple interpretations of the problem are being examined, and there is no explicit consensus yet.

Contextual Notes

One participant notes that they have not yet covered Gauss's law in their studies, which may affect their understanding of the problem. There is also mention of a diagram that is intended to aid visualization but is not available for reference.

macaco
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Homework Statement



5 point charges;
q1; charge = +q distance = d
q2; charge = +2q distance = 3d
q3; charge = -3q distance = 2d
q4; charge = -4q distance = 3d
q5; charge = -5q distance = 2d
are placed in the vicinity of an insulating spherical shell with a charge (+Q), distributed uniformly over its surface.
Rank the point charges in order of the increasing magnitude of force exerted on them by the sphere. Indicate all ties where appropriate. Show all calculations of force.

(there is a diagram attached, but I don't have a scanner and my teacher siad it is only to visualise the problem.)


Homework Equations



Coulomb's law;
F= K (q1)(q2)
--------
r squared


The Attempt at a Solution


My teacher said to apply coulombs law to each of the charges, than compare each.

I tried this, but have no idea of what values I should use for q1 and which I should use for q2.
And do I need the distance of each charge from the edge of the sphere?
The more I look at it, the less sense it makes.
 
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You see that F = qE and F = kq1q2/r^2. From Gauss's Law the total charge enclosed is Q. You are still taking r as being the distance from the center of the sphere to the point charge. Simply make q1 = Q and substitute the different q2 values and r values and compare those magnitudes. If you haven't seen Gauss's Law this will probably make more sense when you do.
 
No, we haven't touched on Gauss's law yet.

I'm still not sure how to rank the equations after I've substituted the values.
so far I have;

q1=> F= K Qq
-----
d^2

q2=> F= K 2Qq
------
3d^2

q3=> F= K -3Qq
------
4d^2

q4=> F= K -4Qq
------
9d^2

q5=> F= K -5Qq
-------
4d^2

how would I rank these?
Or is there more I need to do first?

=]
 
i hope those equations still make sense;
it deleted the spaces in the bottom row.
The first one should be;
F=
K Qq
-----
d^2
 

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