Four point charges, q , are fixed to the four corners of a square that is 12.1 c

Question

Four point charges,q, are fixed to the four corners of a square that is12.1cm on a side. An electron is suspended above a point at which its weight is balanced by the electrostatic force due to the four point charges, at a distance of10nm above the center of the square. (The square is horizontally flat, and the electron is suspended 10 nm vertically above the center of the square.) What is the magnitude of each fixed charge in coulombs?
C

What is the magnitude of each fixed charge as a multiple of the electron's charge?
e

Explanation / Answer

r^2 = 10e-9*10e-9+(0.08556*0.08556) = 0.0073205

r = 0.08556

m g = 4 sin k e q/(r^2)

q = m g r^2/(4 k e sin)

= 9.109e-31*9.81*0.0073205/(4*9e9*1.6e-19*10e-9/0.08556)

= 9.72e-17 C

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