Dipole moment electric potential

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Homework Help Overview

The discussion revolves around calculating the electric potential at a specific distance from a dipole moment, with particular focus on two scenarios: one at an angle to the dipole axis and another on the perpendicular bisector. The subject area includes concepts of electric dipole moments and electric potential.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to derive the electric potential using the dipole moment and questions the correctness of their equations. They express uncertainty about the perpendicular bisector and seek guidance on how to approach that part of the problem.
  • Some participants inquire about incorporating the angle into the dipole moment calculations.
  • Another participant suggests a method for calculating the potential along the dipole axis and notes that multiplying by the cosine of the angle yields results they found to be correct.

Discussion Status

The discussion is ongoing, with participants exploring different methods and interpretations of the problem. Some guidance has been offered regarding the calculations, but there is no explicit consensus on the correct approach for all parts of the problem.

Contextual Notes

Participants are working under the constraint that the dipole separation is much smaller than the distance from the dipole, and there is a note of urgency in seeking assistance, as one participant has not received help for several days.

jelliDollFace
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Homework Statement



what is the potential 18 cm from a dipole moment 2.6nCm at
a) 42 deg to axis
b) on the perpendicular bisector

note: dipole separation << 18cm

Homework Equations



electric dipole moment, p = qd where q is charge, d is distance
electric potential for point charge, V = kq/r where k is 9*10^9 and r is distance

The Attempt at a Solution



a) 42 degrees

i think my eq may be wrong, but...

p =qd sin (theta) where theta = 42deg
so q = p/dsin(theta)

so V = [k(p/dsin(theta)]/r

so using sin(42) i got V = 1.08 kV and using cos(42) i got V = 0.971 kV --> both incorrect

i'm guessing my eq for electric dipole moment is wrong, i was thinking along the lines of the torque eq, rFsin(theta)

b) not attempted yet, but what is the perpendicular bisector? any tips much appreciated
 
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how do i factor in the angle into the dipole moment for part a?
 
anyone, its been 4 days, please help
 
for part a, i just mulitplied the V you get in the beginning (on the dipole axis) by cos(angle given).
for b, the perpendicular bisector is 90 degrees from the, and if u multiply V by cos(90 deg) you get zero.
at least that's how i solved it, and my answers came out right.
 

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