Four point charges are at the corners of a square of side a as shown in the figu

Question

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a in symbolic form. (Let B = 2.5q and C = 3.0q. Assume that the +x-axis is to the right and the +y-axis is up along the page.)

, 2 points SerCP11 15.P.008. My Notes Ask Your Teacher Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a in symbolic form. (Let B = 2.59 and C = 3.04. Assume that the +x-axis is t magnitude direction the right and the ty-axis is up along the page. counterclockwise from the +x-axis 4 Need Help? Read It Submit Answer Save Progress Practice Another Version

Explanation / Answer

Force = FB = k*B*q/(a^2) = 2.5*k*q^2/a^2

FC = k*C*q/(2*a^2) = 1.5*k*q^2/a^2

Fx = FB + FC*cos(45)

= 2.5*k*q^2/a^2 + 1.5*k*q^2/a^2 *cos(45)

= 3.56*k*q^2/a^2

Fy = FB + FC*sin(45)

= 2.5*k*q^2/a^2 + 1.5*k*q^2/a^2 *sin(45)

= 3.56*k*q^2/a^2

Fnet = sqrt(Fx^2 + Fy^2)

= 5.03*k*q^2/a^2

direction, theta = tan^-1(Fy/Fx)

= tan^-1(Fy/Fx)

= tan^-1(3.56/3.56)

= 45 degrees with +x axis in counter clockwise direction

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