Magnetic Effects of Current

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…

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)

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 $=+e$}

The magnetic field inside the solenoid is

If a single-turn circular coil (of radius $R_1$) carrying a current $I$ is rewound into a coil of $N$ turns (of radius $R_2$) using the same total length of wire and carrying the same current $I$, the ratio of the…

Two wires of same material A and B, having lengths $l$ and $\dfrac{2l}{3}$ carry the currents $I$ and $\dfrac{3I}{4}$ respectively. Both the wires (A and B) are bent into a circles (of single turn). If $B_A$ and $B_B$…

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)

A closely wound solenoid of $1000$ turns and area of cross-section $2 \times 10^{-4}\ \text{m}^2$ carries a current of $2$ A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a…

In a cyclotron, a charged particle

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?

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…