Question

A ball of mass m-298.3 kg and charge q 2.83 nC (10^-9 C) is attached via a string to an infinitely large charged plane. The string makes an angle 41.85 degrees with the plane, what is the surface charge density σ of the plane in C/m 2? Use the following constants: 8.854 10-12 C2/N-m2 єд 8-9.81 N/mm, q

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Answer #1

The free body diagram for the given system is as follows: T cos e Tsino mg Here, from the above free body diagram at equilibrtan - QE mg mg 2mg, tane 2(298.3 kg)(9.81m/s°) (8.854x10-12 cº/N.m”)tan 41.85° (2.83x10 °C) = 16.400 C/m²

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