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Question

Question: Two points are at distances a and b (a \< b) from a long string of charge per unit length l. The pot...

Two points are at distances a and b (a < b) from a long string of charge per unit length l. The potential difference between the points is proportional to –

A

b/a

B

b2/a2

C

b/a\sqrt{b/a}

D

log(b/a)

Answer

log(b/a)

Explanation

Solution

E =2 Kλr\frac { 2 \mathrm {~K} \lambda } { \mathrm { r } }, dV =–Edr, V=– abE\int _ { a } ^ { b } E dr Vab µ log (ba)\left( \frac { \mathrm { b } } { \mathrm { a } } \right)