Magnetic Field on the Axis of a Circular Current Loop

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

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 ratio of magnetic field at the centre of a current carrying coil of radius $r$ to the magnetic field at distance $r$ from the centre of coil on its axis is $\sqrt{x}:1$. The value of $x$ is _____.

A straight wire carrying a current of $14 \mathrm{A}$ is bent into a semicircular arc of radius $2.2 \mathrm{cm}$ as shown in the figure. The magnetic field produced by the current at the centre $O$ of the arc is ____ $\times {10}^{–4} \mathrm{T}$

Two identical circular wires of radius $20 \mathrm{cm}$ and carrying current $\sqrt{2}\mathrm{A}$ are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is$\mathrm{\_\_\_\_\_\_\_\_}\times {10}^{-8}\mathrm{T}.$

(Take $\pi =3.14$)

Two identical current carrying coils with same centre are placed with their planes perpendicular to each other as shown. If $i= \sqrt{2} \mathrm{A}$ and radius of coil is $R= 1 \mathrm{m}$, then magnetic field at centre $C$ is equal to

A current carrying wire AB of the length $2\mathrm{\pi R}$ along a circle, as shown in figure. The magnetic field at the centre O is

Find out the magnetic field at axial point 'P' of solenoid shown in figure (where turn density $\text{'}n\text{'}$ and current through it is $I$)

The magnetic induction at the centre O is

A circular coil of wire of radius $r$ has $n$ turns and carries a current $I$. The magnetic induction $B$ at a point on the axis of the coil at a distance $\sqrt{3}r$ from its centre is

A wire carrying the current of $5 \mathrm{A}$ and length of $20 \mathrm{cm}$ is bent to form a semi-circle. The magnetic induction (in tesla) at centre of semi-circle is [use $\pi =\sqrt{10}$]

The strength of earth's magnetic field at a point is $0.4\times {10}^{-5} \mathrm{T}$. If this field is to be annulled by the magnetic induction produced at the centre of a circular conducting loop of radius $\pi \mathrm{cm}$, the current to be sent through the loop is

Considering magnetic field along the axis of a circular loop of radius $1$ meter, at what distance from the centre of the loop the magnetic field is $\frac{1}{2\sqrt{2}}$ times of its value at the centre?

A wire of length$0.20 \mathrm{m}$  is bent in the form of circular loop. If  $2 \mathrm{A}$ of current is flowing through this loop calculate the magnetic field at the centre of the loop and at a point P which is at a distance $15 \mathrm{cm}$ from the centre on its axis.

A wire of length $0.26\mathrm{m}$ is bent in the from of circular loop of  $2A$  of current is flowing through this loop calculate the magnetic field at the center of the loop and at a pt. p. which is at a distance $15 \mathrm{an}$ from the centre on its axis.

A circular coil of radius $10 \mathrm{cm}$, carries a current of $40$ ampere. If it has $40$ turns, the flux density at the centre of the coil is (in $\mathrm{Wb} {\mathrm{m}}^{-2}$)

The radius of a circular current carrying coil is $R$. At what distance from the centre of the coil on its axis, the intensity of magnetic field will be $\frac{1}{2\sqrt{2}}$ times that at the centre$?$