Two points are at distance `a` and `b (a lt b)` from a long string of charge per unit length `lambda`. The potential difference between th epoints is proportional to

Options

A. `b//a`
B. `b^(2)//a^(2)`
C. `sqrt(b//a)`
D. log (b/a)

Answer

D

Explanation

`E=(2Klambda)/(r),dV=-Edr,V=-underset(a)overset(b)intEdr`
`V_(ab)porp"log"((b)/(a))`