Three infinite wires are arranged in space in three dimensions.(along $x, y$ and $z$ axis) as shown. Each wire carries current $i$ . Find magnetic field at $A$
$ - \frac{{{\mu _0}i}}{{2\pi r}}\hat i - \frac{{{\mu _0}i}}{{2\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$
$ - \frac{{{\mu _0}i}}{{4\pi r}}\hat i + \frac{{{\mu _0}i}}{{4\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$
$ \frac{{{\mu _0}i}}{{4\pi r}}\hat i + \frac{{{\mu _0}i}}{{4\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$
$ \frac{{{\mu _0}i}}{{2\pi r}}\hat i + \frac{{{\mu _0}i}}{{2\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$
The resistances of three parts of a circular loop are as shown in the figure. The magnetic field at the centre $O$ is :-
The magnetic field $d\overrightarrow B $ due to a small current element $d\overrightarrow {l\,} $ at a distance $\overrightarrow {r\,} $ and element carrying current $i$ is
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 ${\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A - m)$
A non-planar loop of conducting wire carrying a current $I$ is placed as shown in the figure. Each of the straight sections of the loop is of length $2a$. The magnetic field due to this loop at the point $P$ $(a,0,a)$ points in the direction
Give similarity between Biot-Savart law and electrostatic law of Coulomb.