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A uniform line of charge with length 20.0 cm is along the x-axis, with its midpoint at x = 0. Its charge per length is +6.30 nC/m. A small sphere with charge -4.00 μC is located at x = 0, y = 5.00 cm.What is the magnitude of the force that the charged sphere exerts on the line of charge?

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onyebuchinnaji

The magnitude of the force that the charged sphere exerts on the line of charge is 0.0181 N.

Magnitude of force between the charges

Apply Coulomb's law of electrostatic force.

F = (kq1q2)/r²

where;

  • q1 is charge 1 = 6.3 n C/m x 0.2 m = 1.26 nC
  • q2 is charge 2 = -4 μC
  • r is the distance between the charges = 5 cm = 0.05 m

F = (9 x 10⁹ x 1.26 x 10⁻⁹ x 4 x 10⁻⁶)/(0.05)²

F = 0.0181 N

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