The drawings show three charges that have the samemagnitude, but different signs

Question

The drawings show three charges that have the samemagnitude, but different signs. In all cases the distance dbetween charges 1 and 2 and between 2 and 3 is the same. (a) Draw the electrical force that each charge exerts oncharge 2. Each force should be drawn in the correctdirection, and its magnitude should be correct relative to that ofthe other force. (b) Rank the magnitudes of the netelectrical force on charge 2, largest first. Explain.

The magnitude of the charges is /q/ = 8.6 uC, and the distancebetween them is 3.8 mm. Determine the magnitude of the netforce on charge 2 for each of the three drawings.

Explanation / Answer

(a) Force on charge 2 is due to charge 1 is toward charge 1 and theforce on charge 2 is due to charge 3 is also toward charge 1. threfore F =(2)(9*109)(8.8*10-6C)2/(6.2*10-3m)2 = 36.3*103N (b) For this figure, the force on the charge 2 due to the other twocharges is equal in magnitude and opposite in direction. threforethe net force on the charge 2 is zero. (c) In this case the net force is F= v(2) *(9*109)(8.8*10-6C)2/(6.2*10-3m)2 = 26.67*103N

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