Also can please you explain the theory behind the physics as well as how to do i

Question

Also can please you explain the theory behind the physics as well as how to do it! Thanks! :)

Three equal, positive charges q=1.98 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=4.23 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=1.37 microCoulomb are placed at the locations (x, y) = (0, 0), (0, a), and (a,0). The point A marked on the figure is at the position (x, y) = (a / 2, a / 2). If a=3.87 meters, what is the x-component of the electric field at point A? (Enter your answers in units of N/C, do not enter the units.)

Explanation / Answer

due to charge on y axis

E1x = k*q/a^2........E1y = 0

due to charge on x axis

E2x= 0........E1y = k*q/a^2


due to origin


E3x = k*q*cos45/2a^2........E3y = k*q*sin45/2a^2



Ex = E1x+E2x+E3x = (k*q/a^2)*[1+cos45/2]= 1348.038 N/C


Ey = E1y+E2y+E3y = (k*q/a^2)*[1+sin45/2] = 1348.038 N/C



2)

due to charge on y axis

E1x = 4*k*q/a^2........E1y = 0

due to charge on x axis

E2x= 0........E1y = 4*k*q/a^2


due to origin


E3x = 4*k*q*cos45/2a^2........E3y = 4*k*q*sin45/2a^2



Ex = E1x+E2x+E3x = (4k*q/a^2)*[1+cos45/2]= 4457.3478 N/C


Ey = E1y+E2y+E3y = (4k*q/a^2)*[1+sin45/2] = 4457.3478 N/C

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