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If the magnitude of intensity of electric field at a distance x on axial line and at a distance y  on equatorial line on a given dipole are equal, then x:y is

  • Option 1)

    1:1

  • Option 2)

    1:\sqrt2

  • Option 3)

    1:2

  • Option 4)

    \sqrt[3]{2}:1

 

Answers (1)

As we have learned

At equatorial Point -

E_{equi}= \frac{kP}{\left ( r^{2}+l^{2} \right )^{\frac{3}{2}}}

If r >> l

E_{equi}= \frac{1}{4\pi \varepsilon _{0}}\frac{P}{r^{3}}

V_{equi}= 0

 

- wherein

Angle between Eaxial and P is 180°.

 

E_{axial}= E_{equitorial}\Rightarrow k \frac{2p}{x^3}=\frac{kp}{y^3}\Rightarrow x/y= \frac{2^{1/3}}{1}=\sqrt[3]{2}:1

 


Option 1)

1:1

Option 2)

1:\sqrt2

Option 3)

1:2

Option 4)

\sqrt[3]{2}:1

Posted by

Vakul

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