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At distance 'r' from a point charge, the...

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

A

B

C

D

Text Solution

Verified by Experts

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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