Two identical point charges are fixed distance apart. By whatfactor would the ma

Question

Two identical point charges are fixed distance apart. By whatfactor would the magnitude of the electric force between themchange if : a) One of their charges were doubled and the other werehalved b) Both their charges were halved c) One charge were halved and the other were leftunchanged Two identical point charges are fixed distance apart. By whatfactor would the magnitude of the electric force between themchange if : a) One of their charges were doubled and the other werehalved b) Both their charges were halved c) One charge were halved and the other were leftunchanged

Explanation / Answer

Let the identical charges be q1 = q2 = qand are seperatedby distance "d" . . From Coloumb's law : .            F = k q1 q2 / d2   = kq2 / d2    . Case - 1 : .          If q1 = 2q   , q2 = q / 2 .            Forceis : F1 = k (2q ) * q / 2d2   =   k q2 /d2    = F . Hence the force does not changes. . Case - 2 : .         If   q1 = q / 2   ; q2 = q / 2 .           Forceis : F2 = k q2 / 4 d2    = F / 4 . Hence   Force changes by a factor 4 . Case - 3 : .          If s1 = q / 2 ; q2 = q .         Force is : F3   = k q2 / 2d2    = F / 2 . Hence force changes by factor 2 . Hope this helps u!

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