Two long conductors are arranged as shown above to form overlapping cylinders, each of raidus $r$, whose centers are separated by a distance $d$. Current of density $J$ flows into the plane of the page along the shaded part of one conductor and an equal current flows out of the plane of the page along the shaded portion of the other, as shown. What are the magnitude and direction of the magnetic field at point  $A?$
  • A$(\mu_0/2\pi )\pi dJ,$  in the $+y-$ direction
  • B$(\mu_0/2\pi )d2/r$, in the $+y-$direction
  • C$(\mu_0/2\pi )4d2J/r$, in the $-y-$ direction
  • D$(\mu_0/2\pi )Jr^2/d$, in the $-y- $ direction
Advanced
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 conductor (shown in the figure) carrying constant current $I$ is kept in the $x-y$ plane in a uniform magnetic field $\vec{B}$. If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statement$(s)$ is(are) $Image$

    $(A)$ If $\vec{B}$ is along $\hat{z}, F \propto(L+R)$

    $(B)$ If $\overrightarrow{ B }$ is along $\hat{ x }, F =0$

    $(C)$ If $\vec{B}$ is along $\hat{y}, F \propto(L+R)$

    $(D)$ If $\overrightarrow{ B }$ is along $\hat{ z }, F =0$

    View Solution
  • 2
    A very long straight wire carries a current $I$. At the instant when a charge $ + Q$ at point $P$ has velocity $\overrightarrow V $, as shown, the force on the charge is
    View Solution
  • 3
    A current $I$ flows in an infinitely long wire with cross-section in the form of a semicircular ring of radius $R$. The magnitude of the magnetic induction along its axis is
    View Solution
  • 4
    A circular coil of wire consisting of $100$ turns, each of radius $8.0\; cm$ carries a current of $0.40\, A$. What is the magnitude of the magnetic field $B$ at the centre of the coil?
    View Solution
  • 5
    If a copper rod carries a direct current, the magnetic field associated with the current will be
    View Solution
  • 6
    Choose the correct statement
    View Solution
  • 7
    A thin disc of radius $R$ and mass $M$ has charge $q$ uniformly distributed on it. It rotates with angular velocity $\omega$. The ratio of magnetic moment and angular momentum for the disc is
    View Solution
  • 8
    The magnetic field at the center of current carrying circular loop is $B _{1}$. The magnetic field at a distance of $\sqrt{3}$ times radius of the given circular loop from the center on its axis is $B_{2}$. The value of $B_{1} / B_{2}$ will be.
    View Solution
  • 9
    A charge particle is moving in a uniform magnetic field $(2 \hat{i}+3 \hat{j}) T$. If it has an acceleration of $(\alpha \hat{i}-4 \hat{j}) m / s ^{2}$, then the value of $\alpha$ will be.
    View Solution
  • 10
    Surface charge density on a ring of radius $a$ and width $d$ is $\sigma$ as shown in the figure. It rotates with frequency $f$ about its own axis. Assume that the charge is only on outer surface. The magnetic field induction at centre is(Assume that $d \ll a$ )
    View Solution