Two objects charged with an equal amount of charge interact with each other with a force
of 3.62 Newton when separated by a distance of 16.9 cm. Determine the magnitude of
the charge on each object.

The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.

F = kq₁q₂/r²

where k = 9 x 10⁹ N.m²/C²

Given is the identical charge q₁ = q₂ =q, distance r =16.9cm =0.169m and the force F = 3.62N.

Substitute the values, we get

3.62 = 9 x 10⁹x q² / (0.169)²

q = 3.3894 x 10⁻⁶ C

q = 3.4 μC

Thus, the charge on each object is 3.4 μC.

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Two objects charged with an equal amount of charge interact with each other with a force of 3.62 Newton when separated by a distance of 16.9 cm. Determine the magnitude of the charge on each object.

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Two objects charged with an equal amount of charge interact with each other with a force
of 3.62 Newton when separated by a distance of 16.9 cm. Determine the magnitude of
the charge on each object.