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A ring of radius I caries a charge +q. A test charge -qo is released on its axis at a distance 3R from its centre. How much kinetic energy will be acquired by the test charge when it reaches the centre of the ring ?

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a

14πε0×qq0R

b

14πε0×qq02R

c

14πε0×qq03R

d

14πε0×qq03R

answer is B.

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Detailed Solution

Potential V1, due to a ring is given byV1=14πε0×qR2+r2=14πε0×aR2+3R2(∵r=3R)=14πε0×q2RAt centre V2=14πε0×qR K.E. =q0V2−V1=14πε0qq02R

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A ring of radius I caries a charge +q. A test charge -qo is released on its axis at a distance 3R from its centre. How much kinetic energy will be acquired by the test charge when it reaches the centre of the ring ?