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Electric field at a point near a uniform...

Electric field at a point near a uniformaly charged infinite plane sheet having surface density of charge `sigma ` is given as E= ________________

Text Solution

Verified by Experts

The correct Answer is:
`(sigma)/(2 in _0) `
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State Gauss's theoram in electric field at a point due to a uniformaly charged infinite plane thin sheet.

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Knowledge Check

  • Electric field at a point of distance r from a uniformly charged wire of infinite length having linear charge density lambda is directly proportional to

    A
    `r^(-1)`
    B
    `r`
    C
    `r^(2)`
    D
    `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 intensity at a pont near a charged conductor having a charge density sigma is

    A
    `(sigma)/(4kepsi_(0))`
    B
    `(sigma)/(2kepsi_(0))`
    C
    `(2sigma)/(kepsi_(0))`
    D
    `(sigma)/(kepsi_(0))`

    • Similar Questions

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    Using Gauss' law porve that the electric field at a point due to a uniformaly charged infinite plane sheet is independent of the distance form it. How is the field directed if the sheet is (i) positively charged, (ii) negatively charged.

    (a) Use Gauss's theorem to find the electric field due to a uniformly charged infinitely Iarge plane thin sheet with surface charge density. Sigma (b) An infinitely large thin plane sheet has a uniform surface charge density + sigma . Obtain the expression for the amount of work done in bringing a point charge q from infinity to a point , distant r, in front of the charged plane sheet.

    Calculate electric field at a point on axis, which at a distance x from centre of uniformly charged disc having surface charge density sigma and R which also contains a concentric hole of radius r.

    Using Gauss's law derive an expression for the electric field at any point outside a uniformaly charged thin spherical shell of radius R and charge density sigma C//m^(2) . Draw the field lines when the charges density of the sphere is (i) positive (ii) negative. (b) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of 100 mu C //m^(2) Calculate the (i) charge on the sphere (ii) total electric flux passing through the sphere.

    Electric field intensity at a point due to an infinite sheet of charge having surface charge density sigma is E .If sheet were conducting electric intensity would be

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