A current of $i$ ampere is flowing in an equilateral triangle of side $a$. The magnetic induction at the centroid will be
  • A$\frac{\mu_0 i}{3 \sqrt{3} \pi a}$
  • B$\frac{3 \mu_0 i}{2 \pi a}$
  • C$\frac{5 \sqrt{2} \mu_0 i}{3 \pi a}$
  • D$\frac{9 \mu_0 i}{2 \pi a}$
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
    A milliammeter of range $10\, mA$ has a coil of resistance $1 \,\Omega$. To use it as voltmeter of range $10\, volt$, the resistance that must be connected in series with it, will be ............. $\Omega $
    View Solution
  • 2
    Two long conductors, separated by a distance $d$ carry current $I_1$ and $I_2$ in the same direction. They exert a force $F$ on each other. Now the current in one of them is increased to two times and its directions is reversed. The distance is also increased to $3d$. The new value of the force between them is
    View Solution
  • 3
    A charged particle carrying charge $1\,\mu C$  is moving with velocity $(2 \hat{ i }+3 \hat{ j }+4 \hat{ k })\, ms ^{-1} .$ If an external magnetic field of $(5 \hat{ i }+3 \hat{ j }-6 \hat{ k }) \times 10^{-3}\, T$ exists in the region where the particle is moving then the force on the particle is $\overline{ F } \times 10^{-9} N$. The vector $\overrightarrow{ F }$ is :
    View Solution
  • 4
    A uniform magnetic field $\vec B\,\, = \,\,{B_0}\,\hat j$ exists in a space. A particle of mass $m$ and charge $q$ is projected towards negative $x$-axis with speed $v$ from the a point $(d, 0, 0)$. The maximum value $v$ for which the particle does not hit $y-z$ plane is
    View Solution
  • 5
    In the following hexagons, made up of two different material $P$ and $Q,$ current enters and leaves from points $X$ and $Y$ respectively. In which case the magnetic field at its centre is not zero.
    View Solution
  • 6
    The magnetic field on the axis of a circular loop of radius $100\,cm$ carrying current $I=\sqrt{2}\,A$, at point $1\,m$ away from the centre of the loop is given by
    View Solution
  • 7
    Maximum kinetic energy of the positive ion in the cyclotron is
    View Solution
  • 8
    A electron experiences a force $\left( {4.0\,\hat i + 3.0\,\hat j} \right)\times 10^{-13} N$ in a uniform magnetic field when its velocity is $2.5\,\hat k \times \,{10^7} ms^{-1}$. When the velocity is redirected and becomes $\left( {1.5\,\hat i - 2.0\,\hat j} \right) \times {10^7}$, the magnetic force of the electron is zero. The magnetic field $\vec B$ is :
    View Solution
  • 9
    If the current is doubled, the deflection is also doubled in
    View Solution
  • 10
    A wire carrying current $I$ has the shape as shown in adjoining figure.Linear parts of the wire are very long and parallel to $X-$axis while semicircular portion of radius $R$ is lying in $Y-Z$ plane. Magnetic field at point $O$ is
    View Solution