Question

A wire is bent in the form of a regular hexagon and a total charge q is distributed uniformly on it. What is the electric field at the centre? You may answer this part without making any numerical calculations.

Answer 1

The electric field at the centre is zero.

Explanation:      

• As it's a regular hexagon.
• So, it forms a surface equi-potential.
• Therefore the charge is equal at every point.
• Hence, the center's net whole field is Zero.                                      (Or)  
• As a total charge of "q" the regular hexagon is distributed uniformly.
• It will form an equi-potential surface making the electrical field at the center 0 equal in charge at each point  

Regular hexagon:

• It has six corner, six angles and six sides.
• Lengths of all sides are equal and all angles are determined.
• In a regular hexagon the total number of diagonals is 9.
• The sum total of all inner angles is 720 degrees, where each inside angle   is 120 degrees.

Answer 2

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Electric field at centre is zero

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