Electric charges and fields: Crossed dipoles

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Homework Help Overview

The problem involves two short dipoles with dipole moments placed at the origin, one aligned along the x-axis and the other along the y-axis. The question seeks to determine the electric field at a specific point (a, 0) based on the orientations of the dipoles.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the direction of the electric fields produced by the dipoles and question the assumptions about their orientations. There are attempts to clarify the relationship between the axial and equatorial electric fields, with some participants expressing confusion about the vector addition of these fields.

Discussion Status

The discussion is ongoing, with participants providing guidance on checking the directions of the electric fields and suggesting recalculations. There is an exploration of different interpretations regarding the electric field directions and their implications for the net electric field at the specified point.

Contextual Notes

Participants are working under the constraints of homework guidelines, which may limit the information they can share or the methods they can use to arrive at a solution. There is a focus on understanding the underlying principles rather than providing direct answers.

Ujjwal28
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Homework Statement


Two short dipoles each of dipole moment p are placed art origin. The dipole moment of one dipole is along x-axis while that of other is along y axis. Then what will be the electric field at a point (a, 0)?

Homework Equations


The direction of electric field due to axial dipole has to be along +ve x-axis while electric field due to equatorial dipole should be towards -ve x axis.

The Attempt at a Solution


So shouldn't the net electric field at (a, 0) be
E=2kp/a3-kp/a3
Well the answer is k50.5p/a3.can someone please explain where I am wrong?
 
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Check the direction of the electric field due to a dipole along the equatorial direction.
 
Ok isn't the direction of electric field at equatorial line anti parallel to that of direction of electric filed at axial line?
Where am I wrong?
 
Ujjwal28 said:
Ok isn't the direction of electric field at equatorial line anti parallel to that of direction of electric filed at axial line?
Where am I wrong?
Yes. Check it again.
 
Ok so is it perpendicular to the direction of electric field on axial line?
 
Yes. Along -y axis. Now calculate net electric field at ( a,0)
 
Ok do I the electric field due to axial line is taken to be from left to right i.e along +ve x-axis , will the electric field due to axial line be perpendicular towards +ve y axis? And then adding the two fields vectorially I get the answer?
 
Ujjwal28 said:
Ok do I the electric field due to axial line is taken to be from left to right i.e along +ve x-axis , will the electric field due to axial line be perpendicular towards +ve y axis? And then adding the two fields vectorially I get the answer?
Check this statement
 
Sorry can you explain?
 
  • #10
Ujjwal28 said:
Sorry can you explain?
For the dipole along y-axis, the point ( a,0 ) lies on the equatorial line and the electric field is along - y axis.
 

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