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Three charges, each of magnitude 6 nC, are at separate corners of a square of ed

ID: 1279186 • Letter: T

Question

Three charges, each of magnitude 6 nC, are at separate corners of a square of edge length 5 cm. The two charges at opposite corners are positive, and the other charge is negative. Find the force exerted by these charges on a fourth charge q = +3 nC at the remaining (upper right) corner. (Assume the +x axis is directed to the right and the +y axis is directed upward.)

I get 6.24395E-5 i N and 6.24395E-5 j N, WEbassign says it's the wrong answer, What could I have done wrong?

I set up one +Q top left, another +Q Bottom Right and the -Q bottom left

Explanation / Answer

r^2 = x^2+x^2 = 50*10^-4

Fx = k*Q*q/x^2 - k*Q*q*cos60/r^2

Fx = k*Q*q/25*10^-4 - k*Q*q*0.5/50*10^-4 = 1.5*K*Q*q*10^4


Fx = 243*10-5 N


Fy = k*Q*q/x^2 - k*Q*q*sin60/r^2

Fy = k*Q*q/25*10^-4 - k*Q*q*0.87/50*10^-4 = 1.5*K*Q*q*10^4


Fy = 183.06*10-5 N

F = sqrt(Fx^2Fy^2) = 304.23*10^-5 N

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