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A sphere of radius R has a charge densit...

A sphere of radius R has a charge density `sigma`. The electric intensity at a point at a distance r from its centre is

A

`E=(sigmaR^(2))/(in_(0)kr^(2))`

B

`E=(sigma)/(in_(0)k)`

C

`E=R^(2)`

D

`E=in_(0)kr^(2)sigma^(2)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Consider a thin spherical shell of radius R consisting of uniform surface charge density sigma . The electric field at a point of distance x from its centre and outside the shell is

    A
    inversely proportional to `sigma`
    B
    directly proportional to `x^(2)`
    C
    directlr proportional to R
    D
    inversely proportional to `x^(2)`

  • Consider a sphere of radius R and cylinder of length L. If both have same charge density sigma and E_(s) and E_(e) are electric intensity at a point at a distance r from axis of sphere and cylinder respectively, then E_(s) =

    A
    `(E_(c)R)/r`
    B
    `(E_(c)r)/R`
    C
    `(E_(c)r)/(2R)`
    D
    `(E_(c)R)/(2r)`

  • Consider a sphere of radius R and cylinder of length L. If both have same charge density sigma and E_(s) and E_(c) are electric intensity at a point at a distance r from axis of sphere and cylinder respectively, then E_(s) equal to

    A
    `(E_(c)R)/r`
    B
    `(E_(c)r)/R`
    C
    `(2E_(c)r)/R`
    D
    `(E_(c)r)/(2R)`

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