Magnetic Field Due to a Current Carrying Circular Coil

A current I flows around a closed path in the horizontal plane of the circle as shown in the figure. The path consists of eight arcs with alternating radii r and 2r. Each segment of arc subtends equal angle at the common centre P. The magnetic field produced by current path at point P is

Two concentric coils $X$ and $Y$ of radii $16 \mathrm{cm}$ and $10 \mathrm{cm}$ lie in the same vertical plane containing $N-S$ direction. $X$ has $20$ turns and carries $16 \mathrm{A}$. $Y$ has $25$ turns & carries $18 \mathrm{A}$. $X$ has current in anticlockwise direction. The magnitude of net magnetic field at their common centre is-

Three rings, each having equal radius R, are placed mutually perpendicular to each other and each having its centre at the origin of co-ordinate system. If current I is flowing through each ring then the magnitude of the magnetic field at the common centre is

A current of $i$ ampere is flowing through each of the bent wires as shown the magnitude and direction of magnetic field ${\rm O}$ is,

Find the magnetic induction at point O, if the current carrying wire is in the shape shown in the figure.

Find the magnetic induction at the origin in the figure shown.

Two circular coils A and B of radius $\frac{5}{\sqrt{2}}$ cm and 5 cm respectively current 5 Amp. and $\frac{5}{\sqrt{2}}$ Amp. respectively. The plane of B is perpendicular to plane of A their centres coincide. Find the magnetic field at the centre.

Find out the expression for the magnetic field at a point on the centre of a coil of radius carrying current I and having N number of turns.

A small loop of wire of radius$R$carrying a constant current, lies in the$x y$ plane with its centre at the origin. The component of the magnetic field $B_z$ at a point on the$z$ axis at $z\gg R$, arising due to the current loop, will decrease approximately as

The figure shows a metallic cylinder consisting of two metals welded together. The inner core has a radius $R$ while the outer metal occupies the region from $R$ to $2R$ (in meters). The inner core carries a total current of $1 \mathrm{A}$ going into the plane of the figure while the outer region has a uniform current density of $1 \mathrm{A} {\mathrm{m}}^{–2}$ coming out of it.

The distance from the centre of the cable at which the magnetic field is zero is

Why is magnetic field circular?

Where is the magnetic field due to current through?

What is the direction of magnetic field in a circular loop?

Magnetic field associated with loop is given by graphs below. 

The magnetic induction at centre $O$ in the following figure will be 

The magnetic field at the centre of a current carrying loop of radius 0.1 m is $5\sqrt{5}$ times that at a point along its axis. The distance of this point from the centre of the loop is

The magnetic field normal to the plane of $\mathrm{a}$ coil of $n$ turns and radius $r$ carrying $\mathrm{a}$ current $i$ is measured on the axis of the coil at $\mathrm{a}$ distance $h$ $\left(\mathrm{h}<<\mathrm{r}\right)$ from the centre of the coil. This is smaller than the field at the centre by the fraction

A battery is connected between two points $A$ and $B$ on the circumference of a uniform conducting, ring of radius $r$ and resistance $R.$ One of the arcs $AB$ of the ring subtends an angle $\theta$ at the centre. The value of the magnetic induction at the centre due to the current ring is

Two concentric coplanar circular loops of radia $r_1$ and $r_2$ cary currents $i_1$ and $i_2$ respectively, in opposite directions ($i_1$ clockwise and $i_2$ anticlockwise.) The magnetic induction at the centre of the loops is half of that due to $i_1$ alone at the centre. If $r_2=2r_1$, the value of $i_2/i_1=$

Hollow cylindrical wire carries current $I$, having inner and outer radii $R$ and $2R$ respectively. The magnetic field at a point which is $\frac{5R}{4}$ distance away from the wire:-