The drawings show three charges that have the same magnitude but may have differ

Question

The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|=7.1 ?C, and the distance between them is d=5.6 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings.

The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is lal 37.1 HC, and the distance between them is d 5.6 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings. (a) (b) (c) (a) F (b) F (c) F

Explanation / Answer

a) F = F12 + F32

= k*q^2/d^2 + k*q^2/d^2

= 2*k*q^2/d^2

= 2*9*10^9*(7.1*10^-6)^2/(5.6*10^-3)^2

= 2.9*10^4 N (towards left or towards -x axis))

b) F = F12 - F32

= 0

c) F12 = F32 = k*q^2/d^2

= 1.45*10^4 N

here the angle netween F12 and F32 is 90 degrees.

so, net force,

F = sqrt(2)*F12

= sqrt(2)*1.45*10^4

= 2.1*10^4 N (45 degrees below -x axis)

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