Two long current carrying conductors are placed parallel to each other at a distance of $8 \,cm$ between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is $300 \,\mu T$. The equal current flowing in the two conductors is ...............
JEE MAIN 2022, Medium
Download our app for free and get startedPlay store
$B$ at $O =2 \frac{\mu_{0} I }{2 \pi r }$

$\frac{2 \times 4 \pi \times 10^{-7} I }{2 \pi 4 \times 10^{-2}}=3 \times 10^{-4} T$

$I =30\, A$ in opp. direction

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
    If the strength of the magnetic field produced $10\,cm$ away from a infinitely long straight conductor is ${10^{ - 5}}\,Weber/{m^2}$, the value of the current flowing in the conductor will be........$ampere$
    View Solution
  • 2
    A deutron of kinetic energy $50\, keV$ is describing a circular orbit of radius $0.5$ $metre$ in a plane perpendicular to magnetic field $\overrightarrow B $. The kinetic energy of the proton that describes a circular orbit of radius $0.5$ $metre$ in the same plane with the same $\overrightarrow B $ is........$keV$
    View Solution
  • 3
    The resistance of an ammeter is $13\, \Omega$ and its scale is graduated for a current upto $100$ $amps$. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto $750$ $ampere$ by this meter. The value of shunt-resistance is 
    View Solution
  • 4
    A thick uniformly charged hollow cylinder of inner radius $a$ and outer radius $b$ rotates with constant angular speed $\omega $ about its axis $APB$, charge density$  = \rho $

    Given that $L >>> a$ $L >>> b$ and $P$ is mid point of $AB$. Choose the incorrect option

    View Solution
  • 5
    An electron having a charge e moves with a velocity $v$ in positive $x$ direction. A magnetic field acts on it in positive $y$ direction. The force on the electron acts in (where outward direction is taken as positive $z$-axis).
    View Solution
  • 6
    The pole strength of a bar magnet is $48$  $ampere-metre$ and the distance between its poles is $ 25 \,cm$ . The moment of the couple by which it can be placed at an angle of $30°$ with the uniform magnetic intensity of flux density $0.15 $ $Newton /ampere-metre$ will be.......$Newton × metre$ 
    View Solution
  • 7
    In the given figure net magnetic field at $O$ will be
    View Solution
  • 8
    Find force per unit length at $P$.
    View Solution
  • 9
    A electron $(q = 1.6 \times 10^{-19}\, C)$ is moving at right angle to the uniform magnetic field $3.534 \times 10^{-5}\, T$. The time taken by the electron to complete a circular orbit is......$µs$
    View Solution
  • 10
    A galvanometer has a coil of resistance $100\, ohm$ and gives a full scale deflection for $30\, mA$ current. If it is to work as a voltmeter of $30\, volt$ range, the resistance required to be added will be.....$Ω$
    View Solution