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Biot Savart Law, Magnetic field of a straight wire

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Knowledge Check

  • According to Biot-Savarat's law, magentic field due to a straight current carrying wire at a point at a distance r form it is given by B=(mu_0I)/(4pir)(sinphi_1+sinphi_2) The direction of magnetic field being perpendicular to the plane containing the wire and the point. Figure, shows a closed loop AOCBA in which current I is flowing as shown. Given OA=OB=OC=a . Find the magnetic field at point B due to this loop.

    A
    `-(mu_0I)/(4pi(sqrt2a)) (hati+hatj)`
    B
    `-(mu_0I)/(4pi(sqrt2a)) (hatj+hati)`
    C
    `(-mu_0I)/(2(sqrt2pi)) (hatj+hati)`
    D
    none of these
  • According to Biot-Savarat's law, magentic field due to a straight current carrying wire at a point at a distance r form it is given by B=(mu_0I)/(4pir)(sinphi_1+sinphi_2) The direction of magnetic field being perpendicular to the plane containing the wire and the point. Find magnetic field at point O in Fig.

    A
    `-(mu_0I)/(4pia) (hati+hatk)`
    B
    `-(mu_0I)/(4pia) (hatj+hatk)`
    C
    `-(-mu_0I)/(2pia) (hatj+hatk)`
    D
    `(-mu_0I)/(2sqrt2pia) (hatj+hatk)`
  • The strength of the magnetic field around a long straight wire, carrying current, is

    A
    inversely proportional to the distance from the wire
    B
    inversely proportional to the square of the distance from the wire
    C
    directly proportional to the square of the distance
    D
    directly proportional to the distance from the wire
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