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Q.

Two identical thin rings, each of radius R metre are co-axially placed at distance R metre apart. If Q1 and Q2 coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is :

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a

Zero

b

qQ1-Q22-1/24πε0R

c

q2Q1+Q2/4πε0R

d

qQ1+Q22+1/24πε0R

answer is B.

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Detailed Solution

Potential energy of point charge placed on the axial line of the ring is U=q4πε0QR2+x2Ui=q4πε0Q1R+Q22RUf=q4πε0Q2R+Q12R ; W=Uf-Ui =q4πε0Q2R+Q12R-q4πε0Q1R+Q22R =q42πε0RQ2-Q12-1     Q1-Q2 or Q2-Q1 depends on starting and beginning of q
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