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  • Help me please, Three charges 2q,-q,-qare located at the vertices of an equilateral triangle. At the centre of the triangle

Three charges 2q,-q,-q  are located at the vertices of an equilateral triangle. At the centre of the triangle

  • Option 1)

    The field is zero but potential is non-zero

  • Option 2)

    The field is non-zero but potential is zero

  • Option 3)

    Both field and potential are zero

  • Option 4)

    Both field and potential are non-zero

 

Answers (1)

best_answer

As we learned

 

Superposition of Electric field -

The resultant electric field at any point is equal to the vector sum of all the electric fields.

 

- wherein

\vec{E}=\vec{E_{1}}+\vec{E_{2}}+\vec{E_{3}}+\cdots\vec{E_{n}}

 

 

 

 

Obviously, from charge configuration, at the centre electric field is non-zero. Potential at the centre due to  2q charge

 V_{2q}=\frac{2q}{r} and potential due to – q charge                                                                                          

V_{-q}=-\frac{q}{r}  (r = distance of centre point)

 Total potential  V=V_{2q}+V_{-q}+V_{-q} = 0

 


Option 1)

The field is zero but potential is non-zero

Option 2)

The field is non-zero but potential is zero

Option 3)

Both field and potential are zero

Option 4)

Both field and potential are non-zero

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Plabita

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