Solving Magnitude of Charge Problem with Coulomb's Law

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The problem involves two charges, Q1 and Q2, of equal magnitude but opposite signs, positioned 5.00 m apart, with an electron released from point P that travels to point Q in 0.01 seconds. To determine the magnitudes and signs of Q1 and Q2, the relationship between the electric force, acceleration, and the uniform electric field along the line PQ is crucial. The force acting on the electron results from both the attraction to Q1 and the repulsion from Q2, which can be analyzed using Coulomb's Law and kinematic equations. The change in electrostatic potential energy as the electron moves from P to Q must be equated to its kinetic energy to solve for the charges. Understanding the dynamics of the electric field and forces acting on the electron is essential for finding the unknown charge values.
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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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