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Four charged particles are at the corners of a square of side a as shown in the figure below. (Let A = 3, B = 2, and C = 6.)

(a) Determine the electric field at the location of charge q. (Use the following as necessary: q, a, and ke.)

magnitude

direction (counterclockwise from the +x-axis)

(b) Determine the total electric force exerted on q. (Use the following as necessary: q, a, and ke.)

magnitude

direction (counterclockwise from the +x-axis)
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a) EA = k*A*q/a^2 = 3*k*q/a^2

EB = k*B*q/(2*a^2) = k*q/a^2

EC = k*C*q/a^2 = 6*k*q/a^2

Ex = EA + EB*cos(45)

= 3*k*q/a^2 + k*q/a^2 *cos(45)

= 3.707*k*q/a^2

Ey = EC + EB*sin(45)

= 6*k*q/a^2 + k*q/a^2 *sin(45)

= 6.707*k*q/a^2

Enet = sqrt(Ex^2 + Ey^2)

= 7.66*k*q/a^2

direction, theta = tan^-1(Ey/Ex)

= tan^-1(6.707/3.707)

= 61.07 degrees with +x axis in counter clockwise direction

b) Fnet = q*Enet = 7.66*k*q^2/a^2

direction same as Enet i.e 61.07 degrees
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