Embibe Experts Solutions for Exercise 7: EXERCISE

Find magnetic moment in following cases.

A charge $\mathrm{q},$ mass $\mathrm{m}$ is moving in uniform circular motion under action of a magnetic field $\mathrm{B}.$ Find magnetic moment associated with the charge. Radius of circle is$\text{'}\mathrm{R}\text{'}.$

A ring of radius $\mathrm{R}$ with charge $\mathrm{q}$ uniformly distributed over it is rotated with angular speed $\mathrm{\omega }$ around its axis. Find magnetic moment of the ring.

A disk of radius $\mathrm{R}$ with charge $\mathrm{q}$ uniformly distributed over it is rotated with angular speed $\mathrm{\omega }.$ Find magnetic moment associated with it.

A disk of radius $\mathrm{R}$ is rotated about an axis perpendicular to its plane and passing through its centre. If surface charge density $\mathrm{\sigma },$ at distance $\mathrm{r}$ from centre is given by $\mathrm{\sigma }=\mathrm{\alpha r}.$ Find magnetic dipole moment associated with disk. Assume angular speed to be $\mathrm{\omega }.$

Magnetic field in a region is given by $\overrightarrow{\mathrm{B}}={\mathrm{B}}_0\hat{\mathrm{i}}+2{\mathrm{B}}_0 \hat{\mathrm{j}}.$ Find torque on the loop shown in figure.

A magnetic dipole is placed as shown in figure. Find work done by external agent in rotating it by $90°$ anticlockwise and clockwise.

A current carrying loop is placed in magnetic field as shown in figure. Find time period of small oscillation around as axis passing through diameter of coil. Mass of coil is $\mathrm{m},$ radius is $\mathrm{R}.$