A wire of length $L$ $metre$ carrying a current of $I$ $ampere$ is bent in the form of a circle. Its magnitude of magnetic moment will be
  • A$\frac{{IL}}{{4\pi }}$
  • B$\frac{{I{L^2}}}{{4\pi }}$
  • C$\frac{{{I^2}{L^2}}}{{4\pi }}$
  • D$\frac{{{I^2}L}}{{4\pi }}$
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Current through $ABC$ and $A'B'C'$ is $I$. What is the magentic field at $P$ ? $BP = PB' = r$ (Here $C'B'PBC$ are collinear)
    View Solution
  • 2
    A charge $Q$ moves parallel to a very long straight wire carrying a current $l$ as shown. The force on the charge is
    View Solution
  • 3
    A hollow cylinder having infinite length and carrying uniform current per unit length $\lambda$ along the circumference as shown. Magnetic field inside the cylinder is
    View Solution
  • 4
    An electron, a proton, a deuteron and an alpha particle, each having the same speed are in a region of constant magnetic field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively $R_e, R_p, R_d \,$ and $\, R_\alpha$. It follows that
    View Solution
  • 5
    A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive $\mathrm{y}$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k})\  T$. The force acting on the charge is $x \hat{i} N$. The value of $x$ is__________.
    View Solution
  • 6
    An electron moves with a speed of $2 \times 10^5\, m/s$ along the $+ x$ direction in a magnetic field $\vec B = \left( {\hat i - 4\hat j - 3\hat k} \right)\,tesla$. The magnitude of the force (in newton) experienced by the electron is (the charge on electron $= 1.6 \times 10^{-19}\, C$)
    View Solution
  • 7
    In the figure shown a coil of single turn is wound on a sphere of radius $R$ and mass $m.$ The plane of the coil is parallel to the plane and lies in the equatorial plane of the sphere. Current in the coil is $i$. The value of $B$ if the sphere is in equilibrium is
    View Solution
  • 8
    The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to $1.2 \times 10^{-5}$. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?
    View Solution
  • 9
     An electron is the ground state of hydrogen atom is revolving in anticlockwise direction in a circular orbit of radius $'r'$. The atom is placed is a unifom magnetic field $B$ in such a way magnetic moment of orbital electron makes an angle $30^o$ with the magnetic field. The torque experienced by orbital electon is
    View Solution
  • 10
    Two ions of masses $4 \,{amu}$ and $16\, amu$ have charges $+2 {e}$ and $+3 {e}$ respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then :
    View Solution