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If sigma is surface density of charge on...

If `sigma` is surface density of charge on the charged cylinder of radius R, then electric intensity E at outer point at a distance r from its axis is

A

`(sigmaR)/(in_(0)kr)`

B

`(sigmar)/(in_(0)kR)`

C

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

D

`(sigma^(2)R)/(in_(0)kr)`

Text Solution

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The correct Answer is:
A
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(a) There is a long uniformly charged cylinder having a volume charge density of rho C//m^3 . Radius of the cylinder is R. Find the electric field at a point at a distance x from the axis of the cylinder for following cases (i) x lt R (ii) x gt R What is the maximum field produced by the charge distribution at any point? (b) The cylinder described in (a) has a long cylindrical cavity. The axis of cylindrical cavity is at a distance a from the axis of the charged cylinder (see figure). Find electric field inside the cavity.

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Knowledge Check

  • If charge q is induced on outer surface of sphere of radius R, then intensity at a point P at a distance S from its centre is

    A
    inversely proportional to `(S+R)^(2)`
    B
    inversely proportional to `R^(2)`
    C
    inversely proportional to `S^(2)`
    D
    directly proportional to `S^(2)`

  • 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)`

  • A cylinder of length L has a charge of magnitude q. The electric intensity at a point at a distance r from the axis of the cylinder is

    A
    `E=1/(4piin_(0)K)*q/(r^(2))`
    B
    `E=1/(2piin_(0)k)*q/(rL)`
    C
    `E=sigma//in_(0)k`
    D
    none of these

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