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 ______.

विकल्प

• 2.25 newton

• 2.25${\displaystyle \sqrt{3}}$ newton

• 4.5 newton

• ${\displaystyle 4.5\sqrt{3}}$ 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${\displaystyle \underline{\sqrt{3}}}$ newton.

Explanation:

${\displaystyle {\text{F}}_{\text{net}}=\sqrt{{\text{F}}^2+{\text{F}}^2+2\text{FF}{\cos 60}^{\circ }}=\sqrt{3}\text{F}}$

where, F = ${\displaystyle \frac{9\times {10}^9\times 2\text{HC}\times 5\text{HC}}{2^2}}$

${\displaystyle \sqrt{3}\text{F}=\frac{\sqrt{3}\times 9\times {10}^9\times 2\times 5\times {10}^{-12}}{2^2}=2.25\sqrt{3}\text{N}}$