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  • Help me answer: In x-y co-ordinate system if potential at a point P(x, y) is given by V= axy; where a is a constant, if r is the distance of point P from origin then electric field at P is proportional to

In x-y co-ordinate system if potential at a point P(x, y) is given by V= axy; where a is a constant, if r is the distance of point P from origin then electric field at P is proportional to

  • Option 1)

    r

     

     

     

  • Option 2)

    r^{-1}

  • Option 3)

    r^{-2}

  • Option 4)

    r^{2}

 

Answers (1)

best_answer

As we learned

 

Relation between field and potential -

E=\frac{-dv}{dr}

- wherein

\frac{dv}{dr} -   Potential gradient.

 

 

By using   E=-\frac{dV}{dr}            E_{x}=-\frac{dV}{dx}=-ay,        E_{y}=-\frac{dV}{dy}=-ax,

Electric field at point P E=\sqrt{E_{x}^{2}+E_{y}^{2}}=a\sqrt{x^{2}+y^{2}}=ar i.e., Eµr

 


Option 1)

r

 

 

 

Option 2)

r^{-1}

Option 3)

r^{-2}

Option 4)

r^{2}

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Plabita

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