Question

Three point charges +2, +2, and +5µC are placed respectively at the vertices A, B, C of an equilateral triangle of side 0.2 m. The magnitude of the force experienced by the charge at C is ______.

Options

• 2.25 newton

• 2.25`sqrt3` newton

• 4.5 newton

• `4.5sqrt3` newtone

Answer 1

Three point charges +2, +2, and +5µC are placed respectively at the vertices A, B, C of an equilateral triangle of side 0.2 m. The magnitude of the force experienced by the charge at C is 2.25`underlinesqrt3` newton.

Explanation:

`"F"_"net" = sqrt("F"^2 + "F"^2 + 2"FF" cos 60^circ) = sqrt3"F"`

where, F = `(9 xx 10^9 xx 2"HC" xx 5"HC")/2^2`

`sqrt3"F" = (sqrt3 xx 9 xx 10^9 xx 2 xx 5 xx 10^-12)/2^2 = 2.25 sqrt3"N"`