Question

How much work must be done to bring three electrons from a great distance apart to 3.5×10−10 m from one another (at the corners of an equilateral triangle)?

Answer 1

1.97 × 10⁻¹⁸J

Step-by-step explanation:

Charge of an electron q = -1.9 × 10⁻¹⁹C

Length of one side of the equilateral triangle at whose corners electrons are placed d = 3.5 × 10⁻¹⁰m

Coulomb constant k = 8.99 × 10⁹Nm²/C²

electrostatic potential = (3 kq²) / d

= (3 × 8.99 × 10⁹ × (-1.6 × 10⁻¹⁹)²) / 3.5 × 10⁻¹⁰

= 1.97 × 10¹⁸J