A regular hexagon of side 0.50 m has identical point charges +2.0 μC placed at five…

PHYSICS · Subjective · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

A regular hexagon of side 0.50 m has identical point charges +2.0 μC placed at five of its vertices, leaving the sixth vertex unoccupied. Take the centre of the hexagon as O. (i) Calculate the magnitude of the electric field at O produced by this arrangement. (Use k=9.0×109 N m2 C−2k = 9.0 \times 10^{9}\,\text{N\,m}^2\,\text{C}^{-2}.) (ii) Specify the direction of the resultant field with respect to the hexagon.

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