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State Biot-Savart law. A current I flo...

State Biot-Savart law.
A current I flows in a conductor placed perpendicular to the plane of the paper. Indicate the direction of the magnetic field due to a small element `vecdl` at point P situated at a distance `vecr` from the element as shown in figure.

Text Solution

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The direction of magnetic field at point P is along -ve direction of x-axis.
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A current I flows in a conductor placed perpendicular to the plate of the paper. Indicate the direction of the magnetic field due to a small element dvecl at point P situated at a distance vecr from the element as shown in the figure.

State Biot Savart's law. A current I flows in a conductor placed perpendicular to the plane of paper. Indicate the direction of the magnetic field due to a small element dvecl at a point P at a distance vecr from the element as shown in figure.

Knowledge Check

  • The magnetic field vec(dB) due to a small current element vec(dl) carrying a current I at a distance vecr is given as

    A
    `vec(dB) = (mu_0)/(4pi) I[(vec(dI) xx vec(r))/(r)]`
    B
    `vec(dB) = (mu_0)/(4pi) I^2[(vec(dl) xx vec(r))/(r)]`
    C
    `vec(dB) = (mu_0)/(4pi) I^2[(vec(dl) xx vec(r))/(r^2)]`
    D
    `vec(dB) = (mu_0)/(4pi) I[(vec(dl) xx vec(r))/(r^3)]`
  • The magnetic field dvecB due to a small current element dvecl at a distance vecr and element carrying current i is,

    A
    `dvecB=mu_(0)/(4pi)i((dveclxxvecr)/(r))`
    B
    `dvecB=mu_(0)/(4pi)i^(2)((dveclxxvecr)/(r))`
    C
    `dvecB=mu_(0)/(4pi)i^(2)((dveclxxvecr)/(r^(2)))`
    D
    `dvecB=mu_(0)/(4pi)i((dveclxxvecr)/(r^(3)))`
  • The magnetic field bar(dB) due to a small current element bar(dl) at a distance vec(r) and carrying current 'I' is

    A
    `bar(dB)=(mu_(0))/(4pi)i((bar(dl)xxbar(r))/(r))`
    B
    `bar(dB)=(mu_(0))/(4pi)i^(2)((bar(dl)xxbar(r))/(r^(2)))`
    C
    `bar(dB)=(mu_(0))/(4pi)i^(2)((bar(dl)xxbar(r))/(r))`
    D
    `bar(dB)=(mu_(0))/(4pi)i((bar(dl)xxbar(r))/(r^(3)))`
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