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Using Biot-Svart's law, derive the expre...

Using Biot-Svart's law, derive the expression for the magnetic field in vector form at a point on the axis of a circular current loop.

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Using Biot - Savart's law, derive an expression for magnetic field at any point on axial line of a current carrying circular loop. Hence, find magnitude of magnetic field intensity at the centre of circular coil.

Using Biot-Savart’s law, derive an expression for magnetic field at any point on axial line of a current carrying circular loop. Hence, find magnitude of magnetic field intensity at the centre of circular coil.

Knowledge Check

  • A current loop in a magnetic field

    A
    can be in equilibrium in two orientations, both the equilibrium states are unstable.
    B
    can be in equilibrium in two orientations, one stable while the other is unstable
    C
    experiences a torque whether the field is uniform or non uniform in all orientations.
    D
    can be in equilibrium in one orientation.
  • A current loop in a magnetic field

    A
    Experiencs a torque whether the field is unifrom or nonuuniform in all orientations
    B
    Can be in equilibrium in one orientation
    C
    Can be in equilibrium in two orientrations, both the equilibrium states are unsatable
    D
    Can be in equilibriuim in tow orientations, one stable while the other in unstable.
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    Explore conceptually related problems

    Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying circular loop of radius R . Draw the magnetic field lines due to circular wire carrying current I .

    (a) Using Biot-Savart's law, derive an expression for the magnetic field at the centre of a circular coil of radius R, number of turns N, carrying current. (b) Two small identical circular coils marked 1,2 carry equal currents and are placed with their geometric axes perpendicular to each other as shown in the figure. Derive an expression for the resultant magnetic field at O.

    A current loop in a magnetic field

    Write using Biot-Savart law, the expression for the magnetic field vecB due to an element vecdl carrying current I at a distance vecr from it in vector form. Hence, derive the expression for the magnetic field due to a current loop of radius R at a point P distant x from its centre along the aixs of the loop.

    Biot Savart's law deals with the magnetic field induction at a point due to a………………. .

    State the Biot-Savart law. Use it to obtain an expression for magnetic field at the centre of a current carrying circular loop.