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 left in symbolic form. (Let B = 3.5q and C = 5.5q. Let the +x-axis be pointing to the right.)

Magnitude ____

direction _____  counterclockwise from the +x-axis

http://www.webassign.net/sercp9/15-p-008-alt.gif

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 left in symbolic form. (Let B = 3.5q and C = 5.5q. Let the +x-axis be pointing to the right.) Magnitude ____ direction _____ counterclockwise from the +x-axis

Explanation / Answer

FB = k*q*qB/a^2 = 3.5k*q^2/a^2

force due to two B cahrges FBB= sqrt(FB^2+FB^2) = 4.95*k*q^2/a^2

FC = k*q*qC/2*a^2 = 2.75*q^2/a^2


Fnet = FBB + FC = 7.7*k*q^2/a^2

direction 45 degrees with +x axsis counter clockwise direction

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