The horizontal component of earth's magnetic field at a place is $3.5 \times 10^{-5} \mathrm{~T}$. A very long straight conductor carrying current of $\sqrt{2} A$ in the direction from South east to North West is placed. The force per unit length experienced by the conductor is$..............$ $\times 10^{-6} \mathrm{~N} / \mathrm{m}$.
  • A$35$
  • B$15$
  • C$74$
  • D$64$
JEE MAIN 2024, Diffcult
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 charged particle going around in a circle can be considered to be a current loop. A particle of mass $m$ carrying charge $q$ is moving in a plane with speed $v$ under the influence of magnetic field $\overrightarrow{ B }$. The magnetic moment of this moving particle
    View Solution
  • 2
    A $2 \mathrm{~A}$ current carrying straight metal wire of resistance $1 \Omega$, resistivity $2 \times 10^{-6} \Omega \mathrm{m}$, area of cross-section $10 \mathrm{~mm}^2$ and mass $500 \mathrm{~g}$ is suspended horizontally in mid air by applying a uniform magnetic field $\vec{B}$. The magnitude of $B$ is__________.$\times 10^{-1} \mathrm{~T}\left(\right.$ given, $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )
    View Solution
  • 3
    A charged particle of specific charge $\alpha$ is released from origin at time $t = 0$ with velocity $\vec V = {V_o}\hat i + {V_o}\hat j$ in magnetic field $\vec B = {B_o}\hat i$ . The coordinates of the particle at time $t = \frac{\pi }{{{B_o}\alpha }}$ are (specific charge $\alpha = \,q/m$) 
    View Solution
  • 4
    A galvanometer has $36\,\Omega $ resistance. If a $4\,\Omega $ shunt is added to this, the fraction of current that passes through the shunt is
    View Solution
  • 5
    The cyclotron frequency of an electron grating in a magnetic field of $1\, T$ is approximately
    View Solution
  • 6
    A magnetic needle lying parallel to a magnetic field requires $W$  units of work to turn it through $60°$ . The torque required to maintain the needle in this position will be
    View Solution
  • 7
    A galvanometer can be converted into an ammeter by connecting
    View Solution
  • 8
    A square loop of side $2\, a ,$ and carrying current I, is kept in $XZ$ plane with its centre at origin. A long wire carrying the same current $I$ is placed parallel to the $z-$axis and passing through the point $(0, b, 0),(b>>a)$. The magnitude of the torque on the loop about $z-$axis is given by:
    View Solution
  • 9
    In the figure, what is the magnetic field at the point $O$
    View Solution
  • 10
    A power line lies along the east-west direction and carries a current of $10\, ampere$. The force per metre due to the earth's magnetic field of ${10^{ - 4}}\,tesla$ is
    View Solution