Question

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?

Answer 1

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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