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Question

# Five equal charges each of value q are placed at the corners of a regular pentagon of side a. What will be the electric field at centre O, if the charge from one of the corners (say A) is removed?

A
q4πε0r2 along OA
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B
2q4πε0r2 along OB
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C
q24πε0r2 along OC
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D
2q4πε0r2 along OA
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Solution

## The correct option is A q4πε0r2 along OAWhen charge q is removed from any point of a regular polygon, it is similar to replacing a −q charge at the same point.Now, the electric field at the center due to the five charges will be zero whereas the field due to one negative charge will be given as:→E=q4πε0r2along−−→OAIt means the direction will be away from the center.

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