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The electric field intensity due to infi...

The electric field intensity due to infinite cylinder having charge q per unit length and radius R at a distance r that is greater than R from its axis is

A

directly proportional to r

B

directly proportional to `r^2`

C

inversely proportional to r

D

inversely proportional to `r^2`

Text Solution

Verified by Experts

The correct Answer is:
C
By Gauss law
`phi xx Eds = (ql)/epsilon_0`
When E is constant
` phi.Eds = E xx 2pirl`
`:. E xx 2pirl = q/epsilon_0 l`
`:. E = q/(2piepsilon_0r)`
`E prop 1/r`
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