Charge $q$ is uniformly spread on a thin ring of radius $R.$ The ring rotates about its axis with a uniform frequency $f\, Hz.$ The magnitude of magnetic induction at the center of the ring is
  • A$\frac{{{\mu _0}qf}}{{2\pi R}}$
  • B$\frac{{{\mu _0}qf}}{{2R}}$
  • C$\frac{{{\mu _0}q}}{{2fR}}$
  • D$\frac{{{\mu _0}q}}{{2\pi fR}}$
AIPMT 2011,AIPMT 2010, 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
    A loop is moulded by a constant length current carrying wire and placed in external magnetic field, then torque acts on it does not depends upon

    $(a)$ Shape of loop

    $(b)$ Area of loop.

    $(c)$ Current in loop

    $(d)$ External magnetic field.

     

    View Solution
  • 2
    Three straight parallel current carrying conductors are shown in the figure. The force experienced by the middle conductor of length $25\,cm$ is
    View Solution
  • 3
    Two wires $A$ and $B$ are carrying currents $I_1$ and $I_2$ as shown in the figure. The separation between them is $d$. A third wire $C$ carrying a current $I$ is to be kept parallel to them at a distance $x$ from $A$ such that the net force acting on it is zero. The possible values of $x$ are
    View Solution
  • 4
    The magnetic induction at a point $P$ which is distant $4\, cm$ from a long current carrying wire is ${10^{ - 8}}\,Tesla$. The field of induction at a distance $12\, cm $ from the same current would be
    View Solution
  • 5
    A charge of $1\,C$ is moving in a magnetic field of $0.5\,Tesla$ with a velocity of $10\,m/sec$ Perpendicular to the field. Force experienced is.....$N$
    View Solution
  • 6
    A particle of mass $m$ carrying charge $q$ is accelerated by a potential difference $V$. It enters perpendicularly in a region of uniform magnetic field $B$ and executes circular arc of radius $R$, then $\frac{q}{m}$ equals
    View Solution
  • 7
    A current $I$ flowing through the loop as shown in the adjoining figure. The magnetic field at centre $O$ is
    View Solution
  • 8
    Two coaxial solenoids $1$ and $2$ of the same length are set so that one is inside the other. The number of turns per unit length are ${n_1}$ and ${n_2}$. The currents ${i_1}$ and ${i_2}$ are flowing in opposite directions. The magnetic field inside the inner coil is zero. This is possible when
    View Solution
  • 9
    A thin ring of $10\, cm$ radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of $40\,\pi \,rad\,{s^{ - 1}}$ about its axis, perpendicular to its plane. If the magnetic field at its centre is $3.8 \times {10^{ - 9}}\,T$, then the charge carried by the ring is close to $\left( {{\mu _0} = 4\pi  \times {{10}^{ - 7}}\,N/{A^2}} \right)$
    View Solution
  • 10
    The magnetic field due to a current carrying square loop of side a at a point located symmetrically at a distance of $a/2$ from its centre (as shown is)
    View Solution