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Electric charges and fields: Crossed dipoles

  1. Apr 24, 2016 #1
    1. The problem statement, all variables and given/known data
    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)?


    2. Relevant 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.


    3. 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?
     
  2. jcsd
  3. Apr 24, 2016 #2

    rl.bhat

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    Check the direction of the electric field due to a dipole along the equatorial direction.
     
  4. Apr 24, 2016 #3
    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?
     
  5. Apr 24, 2016 #4

    rl.bhat

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    Yes. Check it again.
     
  6. Apr 24, 2016 #5
    Ok so is it perpendicular to the direction of electric field on axial line?
     
  7. Apr 24, 2016 #6

    rl.bhat

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    Yes. Along -y axis. Now calculate net electric field at ( a,0)
     
  8. Apr 24, 2016 #7
    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?
     
  9. Apr 24, 2016 #8

    rl.bhat

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    Check this statement
     
  10. Apr 24, 2016 #9
    Sorry can you explain?
     
  11. Apr 25, 2016 #10

    rl.bhat

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    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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