Magnetic Effects of Current

The magnetic field at the centre$O$ofthe current-carrying square loop shown in the figureis

A long straight wire of radius a carries a steady current 1 . The current is uniformly distributed across its cross section. The ratio of the magnetic field at $\frac{\mathrm{a}}{2}$ and 2a from axis of the wire is:

The electrostatic force $\left(\overrightarrow{\mathrm{F}}_1\right)$ and magnetic force $\left(\overrightarrow{\mathrm{F}}_2\right)$ acting on a charge q moving with velocity v can be written:

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube $2 \mathrm{~m}$ long and $0.2 \mathrm{~m}$ in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows…

The magnetic moments associated with two closely wound circular coils A and B of radius $r_A=10 \mathrm{~cm}$ and $r_B=20 \mathrm{~cm}$ respectively are equal if: (Where $\mathrm{N}_A, \mathrm{I}_A$ and…

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by:

A charge particle is moving in a uniform magnetic field $(2 \hat{i}+3 \hat{j}) \mathrm{T}$. If it has an acceleration of $(\alpha \hat{i}-4 \hat{j}) \mathrm{m} / \mathrm{s}^2$, then the value of $\alpha$ will be :

A solenoid is $2 \mathrm{~m}$ long and $3 \mathrm{~cm}$ in diameter. It has 5 layers of winding of 1000 turns each and carries a current of $5 \mathrm{~A}$. What is the magnetic field at its centre ? Use the standard…

A proton moving with a velocity $3 \times 10^{5} \mathrm{~m} / \mathrm{s}$ enters a magnetic field of $0.3$ tesla at an angle of $30^{\circ}$ with the field. The radius of curvature of its path will be $(\mathrm{e} /…

An electron moves in a circular arc of radius 10 $\mathrm{m}$ at a contant speed of $2 \times 10^{7} \mathrm{~ms}^{-1}$ with its plane of motion normal to magnetic flux density of $10^{-5} \mathrm{~T}$. What will be the…

A proton is revolving on a circular path of radius $2 \text{mm}$ with frequency $10 \text{Hz}$. Magnetic dipole moment associated with proton is

An electron revolves in a circular orbit of radius $r$ with angular speed $ω$. The magnetic field at the centre of electron orbit is