Help with Dipoles Homework: Force, Torque Calculation

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The discussion focuses on calculating the force and torque on a dipole due to a point charge Q located at a distance r from the dipole's center. The electric field of the dipole is given by the formula (-1/4πε₀) * (qs/r³), but the user struggles with applying this without numerical values. It is noted that the torque formula provided is applicable only in a uniform electric field, which is not the case here. The conversation emphasizes the need to revert to Coulomb's law for accurate calculations. Understanding the non-uniform electric field is crucial for solving the problem correctly.
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Homework Statement




A point charge Q is distance r from the center of a dipole consisting of charges + and - q separated by distance s. The charge is located in the plane that bisects the dipole. At this instant, what are (a) the force(magnitude and direction) and (b) the magnitude of the torque on the dipole? You can assume r >>s.

Homework Equations



So I know from my textbook that the electric field of a dipole is (-1/4pi(eo) times (qs/r^3).
The torque I know is also pEsin(theta)

The Attempt at a Solution



So I have these equations but I don't know what to do with them since there were no numerical values given.

So for part a I have F= Eq = (-1/4pi(eo)) times (s*q^s/r^3) and for part b I just have T = pEsin(theta). From here I don't know what to do, there's nothing for me to plug in really..
 
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The question is the force and torque exerted on the dipole by the charge Q. There is no use of picking up an equation and plug in values blindly. The force you wrote is wrong.
Also, the formula for the torque refers to the torque in a uniform electric field. The electric field is not uniform in this case.

Go back to good old Coulomb's law.


ehild
 
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