A current of $i$ ampere is flowing through each of the bent wires as shown the magnitude and direction of magnetic field at $O$ is
$\frac{{{\mu _0}i}}{4}\left( {\frac{1}{R} + \frac{2}{{R'}}} \right)$
$\frac{{{\mu _0}i}}{4}\left( {\frac{1}{R} + \frac{3}{{R'}}} \right)$
$\frac{{{\mu _0}i}}{8}\left( {\frac{1}{R} + \frac{3}{{2R'}}} \right)$
$\frac{{{\mu _0}i}}{8}\left( {\frac{1}{R} + \frac{3}{{R'}}} \right)$
A Rowland ring of mean radius $15\; cm\;3500$ turns of wire wound on a ferromagnetic core of relative permeability $800.$ What is the magnetic field $B$ (in $T$) in the core for a magnetizing current of $1.2\; A?$
An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is proportional to
As shown in the figure, two infinitely long, identical wires are bent by $90^o$ and placed in such a way that the segments $LP$ and $QM$ are along the $x-$ axis, while segments $PS$ and $QN$ are parallel to the $y-$ axis. If $OP = OQ = 4\, cm$, and the magnitude of the magnetic field at $O$ is $10^{-4}\, T$, and the two wires carry equal current (see figure), the magnitude of the current in each wire and the direction of the magnetic field at $O$ will be $(\mu_ 0 = 4\pi \times10^{-7}\, NA^{-2})$
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
Write formula for magnetic field due to a circular current carrying loop having $\mathrm{N}$ turns and $\mathrm{R}$ radius at a point on the axis of the loop.