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Write the expression of electric field d...

Write the expression of electric field due to an infinitely long, straight, wire having linear charge density `lambda` at a point that is at a distance r from it.

Text Solution

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`lambda/(2piepsilon_0r)`
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Knowledge Check

  • Electric field of an infinitely long straight wire is proportional to:

    A
    r
    B
    `(1)/(r^(2))`
    C
    `(1)/(r^(3))`
    D
    `(1)/(r)`

  • The electric field intensity due to a thin infinity long straight wire of uniform linear charge density lambda at O is-

    A
    `(lambda)/(2pi epsilon_(0)R)`
    B
    `(lambda sqrt(2))/(2pi epsilon_(0)R)`
    C
    `(lambda sqrt(5))/(2pi epsilon_(0)R)`
    D
    zero

  • The direction of magnetic field at a point due to an infinitely long wire carrying current is

    A
    parallel to the current
    B
    antiparallel to the current
    C
    along the perpendicular drawn from a point on the wire
    D
    perpendicular to the plane containing the conductor and the point

    • Similar Questions

    Explore conceptually related problems

    State Gauss's law in electrostatics. Use this law to derive an expression for the electric field due to an infinitely long straight wire of linear charge density lamda cm^(-1)

    State Gauss' law.Using this law obtain the expression for the electric field due to an infinitely long straight conductor of linear charge density lambda (ii) A wire AB of length L has linear charge lambda =kx, where x is measured from the end A of the wire. The wire is enclosed by a Gaussian hollow surface.Find the expression for the electric flux through the surface.

    (a) State Gauss's law. Using this law, obtain the expression for the electric field due to an infinitely long straight conductor of linear charge desntiy lamda . (b) A wire AB of length L has linear charge density lamda = kx , where x is measured from the end A of the wire. This wire is enclosed by a Gaussian hollow surface. Find the expression for the electric flux through this surface.

    Find the electric field due to an infinitely long cylindrical charge distribution of radius R and having linear charge density lambda at a distance half of the radius from its axis.

    Find the electric field at the origin due to the line charge (ABCD) of linear charge density lambda ,

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