A straight wire of finite length carrying current $l$ subtends an angle of $60^{\circ}$ at point $P$ as shown. The magnetic field at $P$ is
Medium
Download our app for free and get startedPlay store
(a)

$B=\frac{\mu_0 I}{4 \pi x \cos 30^{\circ}}\left[\sin 30^{\circ}+\sin 30^{\circ}\right]$

$B=\frac{\mu_0 I}{4 \pi x\left(\frac{\sqrt{3}}{2}\right)}\left(\frac{1}{2}+\frac{1}{2}\right)$

$=\frac{\mu_0 i}{2 \sqrt{3} \pi x}$

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
    The circuit in figure consists of wires at the top and bottom and identical springs as the left and right sides. The wire at the bottom has a mass of $10\, g$ and is $5\, cm$ long. The wire is hanging as shown in the figure. The springs stretch $0.5\, cm$ under the weight of the wire and the circuit has a total resistance of $12\, \Omega $. When the lower wire is subjected to a static magnetic field, the springs, stretch an additional $0.3\, cm$. The magnetic field is
    View Solution
  • 2
    The unit vectors $\hat i,\;\hat j\;{\rm{and }}\,\hat k$ are as shown below. What will be the magnetic field at $O$ in the following figure
    View Solution
  • 3
    If the maximum value of accelerating potential provided by a ratio frequency oscillator is $12\, {kV}$. The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ....... .

    $\left[{m}_{{p}}=1.67 \times 10^{-27} {kg}, {e}=1.6 \times 10^{-19} {C},\right.$ Speed of light $\left.=3 \times 10^{8} {m} / {s}\right]$

    View Solution
  • 4
    Which one of the following options represents the magnetic field $\vec{B}$ at $O$ due to the current flowing in the given wire segments lying on the $x y$ plane?
    View Solution
  • 5
    Two free parallel wires carrying currents in opposite direction
    View Solution
  • 6
    The radius of a circular ring of wire is $R$ and it carries a current of $I\,ampere$. At its centre a smaller ring of radius $r$ with current $i$ and $N\, turns$ is placed. Assuming that the planes of two rings are perpendicular to each other and the magnetic induction produced at the centre of bigger ring is constant, then the torque acting on smaller ring will be
    View Solution
  • 7
    $B _{ X }$ and $B _{ Y }$ are the magnetic field at the centre of two coils of two coils $X$ and $Y$ respectively, each carrying equal current. If coil $X$ has $200$ turns and $20 cm$ radius and coil $Y$ has $400$ turns and $20 cm$ radius, the ratio of $B _{ X }$ and $B _{ Y }$ is
    View Solution
  • 8
    Two long straight wires are placed along $x$-axis and $y$-axis. They carry current $I_1$ and $I_2$ respectively. The equation of locus of zero magnetic induction in the magnetic field produced by them is
    View Solution
  • 9
    A current carrying wire $LN$ is bent in the from shown below. If wire carries a current of $10\, A$ and it is placed in a magnetic field of $5\,T$ which acts perpendicular to the paper outwards then it will experience a force.........$N$
    View Solution
  • 10
    Three long current carrying wires $P, Q$ and $R$ placed perpendicular to plane of the paper. Magnetic force per unit length on wire $'R'$ is
    View Solution