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Q.

Three charges +Q1, +Q2, and q are placed on a straight line such that q is somewhere in between +Q1 and +Q2. If this system of charges is in equilibrium, what should be the magnitude and sign of charge q?

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a

Q1Q2Q1+Q22, positive

b

Q1+Q22, positive

c

Q1Q2Q1+Q22, negative

d

Q1+Q22, negative

answer is C.

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Detailed Solution

Force on Q2 is zero (q should be negative)kQ1Q2R2=kqQ2x2 or xR=qQ1Force on q is zero: kQ1q(R−x)2=kqQ2x2 or  R−xx=Q1Q2 or  Rx=Q1+Q2Q2 or Q1q=Q1+Q2Q2 or  q=Q1Q2Q1+Q22
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