A long solenoid has $100\,turns/m$ and carries current $i.$ An electron moves with in the solenoid in a circle of radius $2·30\,cm$ perpendicular to the solenoid axis. The speed of the electron is $0·046\,c$ ($c =$ speed of light). Find the current $i$ in the solenoid (approximate).....$A$
Medium
Download our app for free and get startedPlay store
$r = \frac{{mv}}{{qB}} = \frac{{mv}}{{q\left( {{\mu _0}ni} \right)}} \Rightarrow i = \frac{{mv}}{{q{\mu _0}nr}}$

$ = \frac{{91 \times {{10}^{ - 31}} \times 046 \times 3 \times {{10}^8}}}{{16 \times {{10}^{ - 19}} \times 4\pi  \times {{10}^{ - 7}} \times 100 \times 23 \times {{10}^{ - 2}}}}$

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 circular coil of $500$ turns encloses an area of $0.04 \,m^2.$ A uniform magnetic field of induction $0.25\, Wb/m^2$ is applied perpendicular to the plane of the coil. The coil is rotated by $90^o$ in $0.1$ second at a constant angular velocity about one of its diameters. A galvanometer of resistance $25\Omega$ was connected in series with the the coil. The total charge that will pass through the galvanometer is.......$C$
    View Solution
  • 2
    At a distance of $10\, cm $ from a long straight wire carrying current, the magnetic field is $0.04\, T$. At the distance of $40\, cm$, the magnetic field will be....$T$
    View Solution
  • 3
    To Verify Ohm's law, a student is provided with a test resistor $\mathrm{R}_{\mathrm{T}}$, a high resistance $\mathrm{R}_1$, a small resistance $\mathrm{R}_2$, two identical galvanometers $\mathrm{G}_1$ and $\mathrm{G}_2$, and a variable voltage source $\mathrm{V}$. The correct circuit to carry out the experiment is
    View Solution
  • 4
    A current of $I$ $ampere$ is passed through a straight wire of length $2.0$ $metres$. The magnetic field at a point in air at a distance of $3$ $metres$ from either end of wire and lying on the axis of wire will be
    View Solution
  • 5
    A current $i$ ampere flows in a circular arc of wire whose radius is $R$, which subtend an angle $3\pi /2$ radian at its centre. The magnetic induction at the centre is
    View Solution
  • 6
    Two long parallel wires carrying currents $8\,A$ and $15\,A$ in opposite directions are placed at a distance of $7\,cm$ from each other. A point $P$ is at equidistant from both the wires such that the lines joining the point $P$ to the wires are perpendicular to each other. The magnitude of magnetic field at $P$ is $............\times 10^{-6}\,T$. (Given : $\left.\sqrt{2}=1.4\right)$
    View Solution
  • 7
    A metal ring of radius $r = 0.5 \,\,m $ with its plane normal to a uniform magnetic field $B$ of induction $0.2 T$ carries a current $I = 100\,\, A$. The tension in newtons developed in the ring is:
    View Solution
  • 8
    A voltmeter of resistance $20000\,\Omega$ reads $5$ volt. To make it read $20$ volt, the extra resistance required is
    View Solution
  • 9
    A particle moving with velocity v having specific charge $(q/m)$ enters a region of  magnetic field $B$ having width $d=\frac{{3mv}}{{5qB}}$ at angle $53^o$ to the boundary of magnetic field. Find the angle $\theta$ in the diagram......$^o$ 
    View Solution
  • 10
    Magnetic field due to a ring having $n$ turns at a distance $x$ on its axis is proportional to (if $r$ = radius of ring)
    View Solution