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The electric field intensity in free spa...

The electric field intensity in free space at a distance 'r' outside a charged conducting sphere of radius 'R' in terms of surface charge density `sigma` is

A

`sigma/epsi_(0)[R/r]^2`

B

`epsi_(0)/sigma[R/r]^2`

C

`R/r[sigma/epsi_(0)]^2`

D

`R/sigma[r/epsi_(0)]^2`

Text Solution

Verified by Experts

The correct Answer is:
A
`sigma/epsi_(0)[R/r]^2`
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Derive an expression for the electric field intensity at a point outside a charged conducting sphere.

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Knowledge Check

  • The magnitude of an electric intensity at a point which is at a distance 'r' from the centre of a charged spherical conductor of radius 'R' in terms of the surface charge density 'sigma' is given by 'E' where

    A
    `E=(sigma)/(Kepsi_(0)r^(2))`
    B
    `E=(sigmaR)/(Kepsi_(0)r^(2))`
    C
    `E=(sigmaR^(2))/(Kepsi_(0)r^(2))`
    D
    `E=(sigma^(2)R)/(Kepsi_(0)r^(2))`

  • The electric intensity at a point near a charged conductor of surface charge density sigma is

    A
    `E=sigma//in_(0)k`
    B
    `E=sigmain_(0)k`
    C
    `E=sigma//2in_(0)k`
    D
    `E=sigma^(2)`

  • The electric field at a distance (3R)/2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is :

    A
    `E`
    B
    `3E/2`
    C
    `E/2`
    D
    Zero

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