Two thin long parallel wires separated by a distance $b$ are carrying a current $i$ $amp$ each. The magnitude of the force per unit length exerted by one wire on the other is
  • A$\frac{{{\mu _0}{i^2}}}{{{b^2}}}$
  • B$\frac{{{\mu _0}{i^2}}}{{2\pi b}}$
  • C$\frac{{{\mu _0}i}}{{2\pi b}}$
  • D$\frac{{{\mu _0}i}}{{2\pi {b^2}}}$
IIT 1986, Medium
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
    Field inside a solenoid is
    View Solution
  • 2
    Electron moves at right angles to a magnetic field of $1.5 \times 10^{-2}\,tesla$ with speed of $6 \times 10^7\,m/s$. If the specific charge of the electron is $1.7 \times 10^{11}\,C/kg$. The radius of circular path will be......$cm$
    View Solution
  • 3
    A proton and an $\alpha - $particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes $25$ $\mu \, sec$ to make $5$ revolutions, then the periodic time for the $\alpha - $ particle would be........$\mu \, sec$
    View Solution
  • 4
    A beam of well collimated cathode rays travelling with a speed of $5 \times {10^6}\,m{s^{ - 1}}$ enter a region of mutually perpendicular electric and magnetic fields and emerge undeviated from this region. If $| B |=0.02\; T$, the magnitude of the electric field is
    View Solution
  • 5
    In a hydrogen atom, an electron moves in a circular orbit of radius $5.2 \times {10^{ - 11}}\,m$ and produces a magnetic induction of $12.56\, T$ at its nucleus. The current produced by the motion of the electron will be (Given ${\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A - m)$
    View Solution
  • 6
    Two concentric circular coils of ten turns each are situated in the same plane. Their radii are $20$ and $40\, cm$ and they carry respectively $0.2$ and $0.3$ $ampere$ current in opposite direction. The magnetic field in $weber/{m^2}$ at the centre is
    View Solution
  • 7
    One Tesla is equal to
    View Solution
  • 8
    An electron moves through a uniform magnetic field $\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T$. At a particular instant of time, the velocity of electron is $\overrightarrow{\mathrm{u}}=3 \hat{i}+5 \hat{j} \mathrm{~m} / \mathrm{s}$. If the magnetic force acting on electron is $\overrightarrow{\mathrm{F}}=5 \mathrm{ekN}$, where $e$ is the charge of electron, then the value of $\mathrm{B}_0$ is ____$\mathrm{T}$.
    View Solution
  • 9
    A square loop of side $2a$ 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 $z-$axis and passing through point $(0, b , 0),( b >> a ) .$ The magnitude of torque on the loop about $z-$ax is will be
    View Solution
  • 10
    A stream of electrons is projected horizontally to the right. A straight conductor carrying a current is supported parallel to electron stream and above it. If the current in the conductor is from left to right then what will be the effect on electron stream
    View Solution