Consider the two cases shown below. In both cases a central charge q has two cha

Question

Consider the two cases shown below. In both cases a central charge q has two charges of equal magnitude at equal distances above and below it. In Case 1 the signs of the two outer charges is opposite, and in Case 2 they are both positive. You are not told the sign of the charge in the center q.

1)In which Case is the magnitude of the net force on the center charge bigger?

a)Case 1

b)Case 2

c)They are the same

d)The answer depends on the sign of the charge in the center q

2) Briefly explain your reasoning:

Explanation / Answer

1)
here ,

the magnitude of net force will be bigger in case 1 ,

where there are charges of oposite signs

2)

in case 2 , as the charges are of same sign , they exert force in same direction ,

and the force due to both charges Q will cancel out on q ,

while in case 1 ,

the force due to charges Q will add up ,

Hence , the magnitude of force is case 2 will be greater in case 1

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