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.

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

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. 

Sketch a graph to show the variation of the magnetic field due to a circular current carrying coil with distance along its axis on both sides of its centre.

A beam of alpha particles passes undeflected  through a velocity selector having electric and magnetic fields of $120\mathrm{kV}/\mathrm{m}$ and $60 \mathrm{mT}$,

respectively. The velocity of the beam is :

Two identical wires $A$ and $B$, each of length $l$, carry the same current $I$ . Wire $A$ is bent into a circle of radius $R$ and wire $B$ is bent to form a square of side $a$. If $B_{\mathit{A}}$ and $B_B$ are the values of a magnetic field at the centres of the circle and square respectively, then the ratio $\frac{{\mathit{B}}_{\mathit{A}}}{{\mathit{B}}_{\mathit{B}}}$ is

Two coils each of $100$ turns are held such that one is in a horizontal plane and the other in a vertical one with their centres coinciding. The radius of the vertical coil is $20 \mathrm{cm}$ and that of the horizontal coil is $30 \mathrm{cm}$. How would you neutralize the magnetic field of the earth at their common centre? What is the current to be passed through each coil? Horizontal of earth's magnetic induction $= 3.49 \times {10}^{-1} \mathrm{T}$ and angle of dip$= {30}^0$. To neutralise the magnetic field at the centre of the coil, the currents is a horizontal coil $i_1$ in vertical coil $i_2$  are

A thin ring of radius $R$ meter has charge $q$ coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of $f$ revolutions per second. The value of magnetic induction in $\mathrm{Wb} {\mathrm{m}}^{-2}$ at the centre of the ring is

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