A point charge with charge q1 = 2.40 μC
is held stationary at the origin. A second point charge with charge q2
= -4.90 μC moves from the point (0.170 m, 0) to the point (0.230 m , 0.270 m ).

How much work is done by the electrostatic force on the moving point charge?
Express your answer in joules.

Respuesta :

The work done by the electrostatic force on the moving point charge is 1.014 J.

Displacement of the second charge

d = √[(0.23 - 0.17)² + (0.27 - 0)²] = 0.277 m

Force between the two charges

F = kq₁q₂/r²

where;

  • q₁ is magnitude of first charge
  • q₂ is magnitude of second charge
  • r is the distance between the two charges
  • k is Coulomb's constant

F = (9 x 10⁹ x 2.4 x 10⁻⁶ x 4.9 x 10⁻⁶)/(0.17)²

F = 3.66 N

Work done in moving the point charge

W = Fd

W = 3.66 x 0.277

W = 1.014 J

Thus, the work done by the electrostatic force on the moving point charge is 1.014 J.

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