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If the charge on each object is reduced to one-forth of its original value and t

ID: 1523191 • Letter: I

Question

If the charge on each object is reduced to one-forth of its original value and the distance between them is reduced to d/2 the force becomes: F/16 F/8 F/4 F/2 F There are four charges, each with a magnitude of 2.0 micro coulombs Two are positive and two are negative The charges are fixed to the comers of a 0.30 m square, one to a comer, in such a way that the net force on any charge is directed toward the center of the square. Find the magnitude of the net electrostatic force experienced by any of the charges. 0.20 N 0.57 N 0.37 N 0.16 N 0.40 N

Explanation / Answer

1) As, F = KQ1Q2/d2

=>   Force will become = F/4

2) net Force in X direction = 8.98 * 109 * 10-12 * (- 2 * 2/0.32 + 2 * 2 * cos45/0.4242)

                                           = - 0.258 N

    net Force in Y direction = 8.98 * 109 * 10-12 * (- 2 * 2/0.32 - 2 * 2 * sin45/0.4242)

                                           = - 0.54 N

Thus, magnitude of net electrostatic force = 0.57 N

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