Q.

A long coaxial cable (figure) carries a uniform volume charge density  on the inner cylinder (radius a), and a uniform surface charge density of the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Graph between E and s (distance from the axis) is best represented by:

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a

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b

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c

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d

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answer is B.

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Detailed Solution

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  Eda=E2πs=1ϵ0Qenc=1ϵ0ρπs2;E=ρs20s^
 

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 Eda=E2πs=1ϵ0Qenc=1ϵ0ρπa2; E=ρa220ss^
 

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  Eda=E2πs=1ϵ0Qenc=0;E=0
 

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