Solving Magnitude of Charge Problem with Coulomb's Law

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Homework Help Overview

The problem involves two charges, Q1 and Q2, of equal magnitude but opposite signs, fixed 5.00 m apart in a vacuum. An electron is released from point P and observed to pass point Q after a specific time. The task is to determine the magnitude and sign of both charges using Coulomb's Law and the motion of the electron.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need for additional equations to relate electrostatic forces and the motion of the electron. Some suggest considering the change in electrostatic potential energy as the electron moves, while others note the uniformity of the electric field along the line PQ.

Discussion Status

There are multiple lines of reasoning being explored, including the effects of the electric field on the electron's motion and the forces acting on it. Some participants have offered pointers regarding the relationship between potential energy and kinetic energy, while others emphasize the need to account for the changing electric field due to the opposite charges.

Contextual Notes

Participants are working within the constraints of the problem statement and are questioning the assumptions regarding the uniformity of the electric field and the forces acting on the electron. The discussion reflects a mix of interpretations regarding the dynamics involved.

bidhati
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Homework Statement



Two charges Q1 and Q2 of equal magnitude but opposite signs are fixed a distance 5.00 m apart in a vacuum The line PQ is a 12.0 cm section of the line joining the two charges and is placed centrally between them. Over the distance PQ the electric field may be taken to be uniform. An electron is released, with negligible initial speed, from point P at time t = 0. At t = 1.00 × 10−2 s the electron is observed to pass point Q. Determine the magnitude and sign of both Q1 and Q2

Homework Equations



Fel = 1/ 4 pi E q1q2 / r^2
a = 2s / t^2


The Attempt at a Solution


well basically I think I need another equation to combine with coulomb's law so I can make Q the subject and thus find the magnitude of charge.

I know that Fel is inversely proportional to r^2 and that if I find Q I just need to halve the value as both charges are equal.
as for the last part of the question electron = - so Q2 = + and thus Q1 = -


obviously there is something I am missing here a helpful pointer please?
 
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I think u need find the change in electrostatic P.E as it moves from P to Qwhich will give an equation in q. Equate this to the kinetic energy gained. Hope this helps.
 
Well, the electric field changes with time... as the charges are of opposite signs, they will accelerate towards each other and hence the magnitude of the field will change... You need to find the change in the field and then calculate the variable force on the electron.
 
chaoseverlasting said:
Well, the electric field changes with time... as the charges are of opposite signs, they will accelerate towards each other and hence the magnitude of the field will change... You need to find the change in the field and then calculate the variable force on the electron.
The electric field is uniform along the length PQ.
 
bidhati said:

Homework Statement



Two charges Q1 and Q2 of equal magnitude but opposite signs are fixed a distance 5.00 m apart in a vacuum The line PQ is a 12.0 cm section of the line joining the two charges and is placed centrally between them. Over the distance PQ the electric field may be taken to be uniform. An electron is released, with negligible initial speed, from point P at time t = 0. At t = 1.00 × 10−2 s the electron is observed to pass point Q. Determine the magnitude and sign of both Q1 and Q2

Since the charges are opposite, the +ve carge Q1(lets say) will be towards Q and the negative charge will be towards P. Now calculate the total force acting on the electron , repulsion due to Q2 and attraction due to Q1. Thus you'll get the acceleration of the electron. This will help solve for the unknowns
 

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