Determine the magnitude of the force on each charge.? f1,f2,f3,f4? Determine the

Question

Determine the magnitude of the force on each charge.? f1,f2,f3,f4?

Determine the direction of the force on each charge.? teta 1,2,3,4?

Explanation / Answer

force on negative charge 3 will be repulsive from the two adjacent charges and attractive along the diagonal from the other negative charge.;;;;;;;;;;;;;;;;;;;;;; The resultant of the repulsive forces from the +ve charges will just be in opposite direction to that of the attractive force.;;;;;;;;;;;;;;;;;;;;;;;;;;;;; F(repulsive) = sqrt(2)* k*Q^2/a^2;;;;;;;;;;;;;;;;;;;;;;; F(attractive) = KQ^2/[sqrt(2)*a]^2 = kQ^2/2a^2;;;;;;;;;;;;;;;;;;;;;;;;;;;; net force on charge no. 1 and 3= sqrt(2)* k*Q^2/a^2 - kQ^2/2a^2 = kQ^2/a^2 *[sqrt(2)-1/2]= 0.914 kQ^2/a^2 => F1 =F3 = 0.914*9*10^9*3.55^2*10^-6/0.175^2 = 3385082.939 N (in the diagonal outward direction) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; similarly, net force on charge no. 2 and 4 = sqrt(2)* k*Q^2/a^2 - kQ^2/2a^2 = kQ^2/a^2 *[sqrt(2)-1/2]= 0.914 kQ^2/a^2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; => F2 =F4 = 0.914*9*10^9*3.55^2*10^-6/0.175^2 = 3385082.939 N (in the diagonal inward direction)

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