Define magnetic field lines. How do they determine magnetic field direction at a point in magnetic field?

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Magnetic field lines are used to represent the direction and strength of magnetic fields. They are used to determine the direction of magnetic fields around a magnet or a current-carrying conductor. The magnetic field lines are closed curves that form continuous loops around the magnetic material or a current-carrying conductor.

The properties of magnetic field lines are as follows:

  • Magnetic field lines always form continuous loops around the magnet or current-carrying conductor, i.e. they are always closed curves.
  • The direction of the magnetic field lines is such that the tangent to the line at any point gives the direction of the magnetic field at that point.
  • Magnetic field lines never intersect with each other.
  • The density of magnetic field lines is directly proportional to the strength of the magnetic field at any point. Thus, the denser the magnetic field lines, the stronger the magnetic field.

For example, consider a bar magnet. When iron filings are scattered around a bar magnet, they align themselves along the magnetic field lines. The direction of the magnetic field lines can be determined by connecting the points where the iron filings lie. The lines will form closed loops, with the field lines emerging from the north pole and entering the south pole. The direction of the magnetic field at any point can be found by drawing a tangent to the magnetic field line at that point.

Similarly, the magnetic field around a current-carrying conductor can be visualized using magnetic field lines. When a current-carrying conductor is passed through a sheet of paper and iron filings are sprinkled on top, the iron filings align themselves along the magnetic field lines. The field lines form concentric circles around the conductor, with the direction of the magnetic field tangent to the circles at any point.

In summary, magnetic field lines are a useful tool to visualize the direction and strength of magnetic fields. They help to understand the behavior of magnets and current-carrying conductors and are useful in practical applications of electromagnetism.

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CBSE CLASS XII Related Questions

  • 1.
    A circular coil of 100 turns and radius \( \left(\frac{10}{\sqrt{\pi}}\right) \, \text{cm}\) carrying current of \( 5.0 \, \text{A} \) is suspended vertically in a uniform horizontal magnetic field of \( 2.0 \, \text{T} \). The field makes an angle \( 30^\circ \) with the normal to the coil. Calculate:
    the magnetic dipole moment of the coil, and
    the magnitude of the counter torque that must be applied to prevent the coil from turning.


      • 2.
        The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:

          • P
          • Q
          • R
          • S

        • 3.
          In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.


            • 4.
              Assertion : In Young’s double-slit experiment, the fringe width for dark and bright fringes is the same. Reason (R): Fringe width is given by \( \beta = \frac{\lambda D}{d} \), where symbols have their usual meanings.

                • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                • Assertion (A) is true, but Reason (R) is false.
                • Both Assertion (A) and Reason (R) are false.

              • 5.
                Four long straight thin wires are held vertically at the corners A, B, C and D of a square of side \( a \), kept on a table and carry equal current \( I \). The wire at A carries current in upward direction whereas the current in the remaining wires flows in downward direction. The net magnetic field at the centre of the square will have the magnitude:

                  • \( \dfrac{\mu_0 I}{\pi a} \) and directed along OC
                  • \( \dfrac{\mu_0 I}{\pi a \sqrt{2}} \) and directed along OD
                  • \( \dfrac{\mu_0 I \sqrt{2}}{\pi a} \) and directed along OB
                  • \( \dfrac{2\mu_0 I}{\pi a} \) and directed along OA

                • 6.
                  Consider a cylindrical conductor of length \( l \) and area of cross-section \( A \). Current \( I \) is maintained in the conductor and electrons drift with velocity \( \vec{v}_d \, (|\vec{v}_d| = \frac{eE}{m} \tau) \), where symbols have their usual meanings. Show that the conductivity of the material of the conductor is given by \[ \sigma = \frac{n e^2 \tau}{m}. \]

                    CBSE CLASS XII Previous Year Papers

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