The earth's magnetic induction at a certain point is $7 \times {10^{ - 5}}\,Wb/{m^2}.$ This is to be annulled by the magnetic induction at the centre of a circular conducting loop of radius $5 \,cm$. The required current in the loop is......$A$
Medium
Download our app for free and get startedPlay store
(b) $\frac{{{\mu _0}}}{{4\pi }} \times \frac{{2\pi i}}{r} = H \Rightarrow \frac{{({{10}^{ - 7}}) \times 2 \times 3.142 \times i}}{{0.05}} = 7 \times {10^{ - 5}}$
$\therefore \,i = \frac{{7 \times 0.05 \times {{10}^{ - 5}}}}{{2 \times 3.142 \times {{10}^{ - 7}}}} = \frac{{35}}{{2 \times 3.142}} = 5.6$ $amp$
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
    For a positively charged particle moving in a $x-y$ plane initially along the $x$-axis, there is a sudden change in its path due to the presence of electric and/or magnetic fields beyond $P$. The curved path is shown in the $x-y$ plane and is found to be non-circular. Which one of the following combinations is possible
    View Solution
  • 2
    A magnet of magnetic moment $ 20 $ $C.G.S.$  units is freely suspended in a uniform magnetic field of intensity $0.3 $ $ C.G.S.$ units. The amount of work done in deflecting it by an angle of $30°$ in $ C.G.S.$  units is
    View Solution
  • 3
    A particle of mass $m$ and charge $q$ is in an electric and magnetic field given by

    $\vec E = 2\hat i + 3\hat j ;\, B = 4\hat j + 6\hat k$

    The charged particle is shifted from the origin to the point $P(x = 1 ;\, y = 1)$ along a straight path. The magnitude of the total work done is

    View Solution
  • 4
    A small block of mass $m$, having charge $q$ is placed on frictionless inclined plane making an angle  $\theta$ with the horizontal. There exists a uniform magnetic field $B$ parallel to the inclined plane but  perpendicular to the length of spring. If $m$ is slightly pulled on the inclined in downward direction and released, the time period of oscillation will be (assume that the block does not leave contact with the plane)
    View Solution
  • 5
    A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of $10\, A$. The magnetic field at point $O$ will be close to
    View Solution
  • 6
    If a positive ion is moving, away from an observer with same acceleration, then the lines of force of magnetic induction will be
    View Solution
  • 7
    A triangular shaped wire carrying $10 A$ current is placed in a uniform magnetic field of $0.5\,T$, as shown in figure. The magnetic force on segment $CD$ is $....N$ $($ Given $BC = CD = BD =5\,cm )$.
    View Solution
  • 8
    The dimensional formula for the physical quantityis $\frac{{{E^2}{\mu _0}{\varepsilon _0}}}{{{B^2}}}$ ($E =$ electric field and $B =$ magnetic field)
    View Solution
  • 9
    A proton is moving along $Z$-axis in a magnetic field. The magnetic field is along $X$-axis. The proton will experience a force along
    View Solution
  • 10
    A current of $10\,A$ is passing through a long wire which has semicircular loop of the radius $20\,cm$ as shown in the figure. Magnetic field produced at the centre of the loop is
    View Solution