Three equal, positive charges q=1.93 microCoulomb are placed at the locations (x

Question

Three equal, positive charges q=1.93 microCoulomb are placed at the locations (x,y) = (0,0), (0,a), and (a,0).  The point B marked on the figure is at the position (x,y) = (a,a). If a=4.44 meters, what is the magnitude of the electric field at point B? (Enter your answers in units of N/C, do not enter the units.)

Three equal, positive charges q=1.93 microCoulomb are placed at the locations (x,y) = (0,0), (0,a), and (a,0). The point B marked on the figure is at the position (x,y) = (a,a). If a=4.44 meters, what is the magnitude of the electric field at point B?

Explanation / Answer

sum x components

Ex = 9E9*(1.93E-6/4.44^2 + 1.93E-6/(2*4.44^2)*cos(45) )=1192.64

by symmetry Ey is the same

Ey = 1192.64

E = sqrt(2)*1192.64=1686.6

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