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€ 2.00c 0.5m 30° -30° 0.5 m 0-2.000 (b) Using symmetry arguments, give the direction the net force acts on the charge at the
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62.0nc o.sm 30 2-30° 0.5 m F -2.onc V Enet

There are two forces acting on the charge at the origin, one from +2.0nC charge and the other from -2.0nC charge. The charge at the origin is a positive charge, it will be repelled by +2.0nC and attracted by -2.0nC. The corresponding forces are named F and F .

The magnitude of both the charges +2.0nC and -2.0nC is same, and they both are 0.5m away from the origin. Therefore, the magnitude of the Coulomb force on the charge at the origin due to each charge is equal (F+ = F-) . Further the forces are symmetric about the y-axis.

The net force on the charge at origin is the vector sum of F and F . Since the forces are symmetric about the y-axis, the x-component of these forces cancels each other. So, the x-component of the net force is zero. The y-components adds up to give net force pointing downwards.

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