Magnetic Effects of Current

The magnitude of the magnetic field at point O (centre of the arc) with radius R, in the following case is ($\mu_0$ = permeability of free space, I = current and R is the radius of circular arc)

If the current 'i' is passing through the wire, it has a shape as shown in the figure. The radius of the curved part is R and the linear part is assumed to be very long. The magnetic induction of the field at the point…

A long straight wire along the $z$-axis carries a current '$I$' in the negative z-direction. The magnetic induction '$\vec{B}$' at a point having co-ordinates $(x, y)$ on the $z = 0$ plane is

In a cyclotron, for the same values of B and R, what is the ratio of the maximum kinetic energies of $\alpha$ particles and deuteron? {Mass of deuteron $=2m_p$, charge on deuteron $=+e$}

An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true? a. The electron will be accelerated along the axis. b. The electron path will be…

For a circular coil of radius $a$, at what distance $x$ along its axis the magnetic field is exactly $\dfrac{1}{27}$ of its value at the center?

The magnetic field inside the solenoid is

A circular coil having 'n' turns, each of radius 'r' carries a current 'I'. The magnetic field at a distance $x = \sqrt{8}\ r$ from its centre along axis of the coil is $(\mu_0 = $ permeability of free space)

Two concentric coils, each of radius equal to $2\pi$ cm are placed at right angle to each other. If $3$ A and $4$ A are the currents flowing through the two coils, respectively. The magnetic induction (in Wb/m$^2$) at…

A conducting circular loop of radius $r$ carries a constant current $i .$ It is placed in a uniform magnetic field $\overrightarrow{\mathrm{B}}_{0}$ such that $\overrightarrow{\mathrm{B}}_{0}$ is perpendicular to the…

Two long straight wires are set parallel to each other. Each carries a current in the same direction and the separation between them is $2 r$. The intensity of the magnetic field mid-way between them is

In the figure shown, the magnetic field induction at the point $O$ will be