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Five point charges, each of value +q cou...

Five point charges, each of value `+q` coulomb, are placed on five vertices of a regular hexagon of side L metre. The magnitude of the force on the point charge of value `-q` coulomb placed at the centre of the hexagon is …………… newton.

A

`(1)/(4piepsilon_(0))(q^(2))/(L^(2))N`

B

`(q^(2))/(2piepsilon_(0)L^(2))N`

C

`(q^(2))/(8piepsilon_(0)L^(2))N`

D

`(5q^(2))/(4piepsilon_(0)L^(2))N`

Text Solution

Verified by Experts

The correct Answer is:
A

Total force = 0 [From charges 1 and 4, from 2 and 5 is also zero & 1,2,4,5 is zero]. The unbalanced force is due to `(+q)` placed at 3.
`therefore` Magnitude of force at centre = `(1)/(4piepsilon_(0))(q^(2))/(L^(2))N`
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