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  An electric dipole is placed along the x- axis at the origin O. A point P  is at a distance of 20  from this origin such that  OP makes an angle \pi/3  with the x-axis. If the electric field at P makes an angle \theta with the x-axis, the value of \theta would be           

  • Option 1)

    \pi/3

  • Option 2)

    \pi/3+\tan ^{-1}(\frac{\sqrt3}{2})

  • Option 3)

    \frac{2 \pi}{3}

  • Option 4)

    \tan ^{-1}(\frac{\sqrt3}{2})

 

Answers (1)

As we have learned

Electric Field and Potential due to an Electric Dipole -

At axial point

E_{axial}=\frac{2kpr}{\left ( r^{2}-l^{2} \right )^{2}}

V_{axial}=\frac{kP}{\left ( r^{2}-l^{2} \right )}

- wherein

 

 \theta = \pi/3+\alpha ..where.. \tan \alpha = 1/2\tan \pi/3

 


Option 1)

\pi/3

Option 2)

\pi/3+\tan ^{-1}(\frac{\sqrt3}{2})

Option 3)

\frac{2 \pi}{3}

Option 4)

\tan ^{-1}(\frac{\sqrt3}{2})

Posted by

Vakul

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