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Question -

A long charged cylinder of linear chargeddensity ╬╗ is surrounded by a hollow co-axial conducting cylinder. What is theelectric field in the space between the two cylinders?



Answer -

Charge density of the long charged cylinderof length┬аL┬аand radius┬аr┬аis┬а╬╗.

Another cylinder of same length surroundsthe pervious cylinder. The radius of this cylinder is┬аR.

Let┬аE┬аbe the electricfield produced in the space between the two cylinders.

Electric flux through the Gaussian surface is given byGaussтАЩs theorem as,

Where,┬аd┬а= Distance of apoint from the common axis of the cylinders

Let┬аq┬аbe the total chargeon the cylinder.

It can be written as

Where,

q┬а=Charge on the inner sphere of the outer cylinder

тИИ0┬а= Permittivityof free space

Therefore, the electricfield in the space between the two cylinders is┬а

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