ch21-p019 - 19. (a) If the system of three charges is to be...

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2 3 22 0 14 . 0 0 . 4 q qq q F xL ε ⎛⎞ =+ ⎜⎟ ⎝⎠ π The signs are chosen so that a negative force value would cause q to move leftward. We require F q = 0 and solve for q 3 : 2 3 3 2 44 4 0.444 99 q qx qq Lq =− =− =− where x = L /3 is used. Note that we may easily verify that the force on 4.00 q also vanishes: () 2 2 2 0 4 2 2 2 2 00 0 9 4 4 0 4 9 4 q q qq q q F LL L L L Lx εε = ππ π . 19. (a) If the system of three charges is to be in equilibrium, the force on each charge must be zero. The third charge q 3 must lie between the other two or else the forces acting on it due to the other charges would be in the same direction and q 3 could not be in equilibrium. Suppose q 3 is at a distance x from q , and L x from 4.00 q . The force acting
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