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Apply Gauss's law to find the electric f...

Apply Gauss's law to find the electric field due to an infinitely long plane sheet of charge.

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Consider an infinitely long straight uniformly charged wire with linear charge density ? Br Apply Gauss.s theorem to find the electric field at P for the above mentioned charged wire. Write the direction of the field.

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Knowledge Check

  • According to Gauss's law, the electric field due to an infinitely long straight wire is proportional to

    A
    r
    B
    `1/r^2`
    C
    `1/r^3`
    D
    `1/r`
  • Electric field due to an infinitely long plane sheet of charge varies with the distance 'r' from the sheet as

    A
    `E propt 1/r`
    B
    does not vary with 'r'
    C
    `E prop r^2`
    D
    `E prop r^(-2)`
  • A small bob of a mass 'm' and charge 'q' is released from the given position. It swings in a vertical plane by the effect of gravity and electric field due to a large uniform charged sheet of surface charge density sigma . The maximum angle that the bob swings before coming to rest momentarily.

    A
    `theta=tan^(-1)((epsilon_(0)mg)/(qsigma))`
    B
    `theta=sin^(-1)((epsilon_(0)mg)/(qsigma))`
    C
    `theta=2tan^(-1)((epsilon_(0)mg)/(qsigma))`
    D
    `theta=2sin^(-1)((epsilon_(0)mg)/(qsigma))`
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