How much work must be done to bring three electrons from a great distance apart to within 9.0 × 10-10 m from one another (at the corners of an equilateral triangle)?

Respuesta :

As we know that change in the potential energy of the system must be equal to the work done to bring the system of charges

here we know that

[tex]U = 3\frac{kq_1q_2}{r^2}[/tex]

also here we have

[tex]q_1 = q_2 = 1.6 \times 10^{-19} C[/tex]

[tex]r = 9 \times 10^{-10} C[/tex]

now we will have

[tex]U = \frac{9 \times 10^9 (1.6 \times 10^{-19})^2}{(9\times 10^{-10})^2}[/tex]

[tex]U = 2.84 \times 10^{-10} J[/tex]

So here work done to bring three charges at the vertices of a triangle is given as

[tex]W = 2.84 \times 10^{-10} J[/tex]