The magnitude of the magnetic field at the center of an equilateral triangular loop of side $1 \ m$ which is carrying a current of $10 \ A$ is $.... \mu T$.

$A$ 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:

$A$ coil of $50$ turns and $4$ cm radius carries $2$ $A$ current. The magnetic field at its centre is ....... $mT$.

Discuss special cases of the Biot-Savart law.

Two parallel wires of equal lengths are separated by a distance of $3 \text{ m}$ from each other. The currents flowing through the first and second wire are $3 \text{ A}$ and $4.5 \text{ A}$ respectively in opposite directions. The resultant magnetic field at the midpoint of both the wires is ($\mu_0$ = permeability of free space).

$A$ circular coil of radius $R$ is carrying a current $I_{1}$ in an anticlockwise sense. $A$ long straight wire is carrying a current $I_{2}$ in the negative direction of the $x$-axis. Both are placed in the same plane and the distance between the centre of the coil and the straight wire is $d$. The magnetic field at the centre of the coil will be zero for the value of $d$ equal to: