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At distance r from a point charge the ra...

At distance `r` from a point charge the ratio `(U)/(V^(2))` where `U` is energy density and V is potential) is best reprsented by

A

B

C

D

Text Solution

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The correct Answer is:
B

`U=1/2 epsilon_(0)E^(2)=1/2(epsilon_(0)K^(2)Q^(2))/(r^(4))rArr V=(KQ)/rrArr U/(V^(2)) =(1/2 epsilon_(0)K^(2)(Q^(2)))/((K^(2)Q^(2))/(r^(2)))=1/2 (epsilon_(0))/(r^(2))`
Because `U/(v^(2)) prop 1/(r^(2))rArr ` so the correct option is B.
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