Embibe Experts Solutions for Chapter: Moving Charges and Magnetism, Exercise 1: Manipur Board-2020

What is a solenoid? Derive the expression for magnetic field due to a long current carrying solenoid by using Ampere's circuital law.

Use the expression $\overrightarrow{\mathrm{F}}=\mathrm{q}\left(\overrightarrow{\mathrm{v}}\times \overrightarrow{\mathrm{B}}\right)$ for the force experienced by a charge $\mathrm{q}$ moving with a velocity $\overrightarrow{\mathrm{v}}$ in a magnetic field $\overrightarrow{\mathrm{B}}$ to define the SI unit of magnetic field.

A charged particles of mass $\mathrm{m}$ and charge $\mathrm{q}$ moves along a circular path of radius $\mathrm{r}$ that is perpendicular to a magnetic field $\mathrm{B}$. The time taken by the particle to complete one revolution is

In a chamber, a uniform magnetic field of $6.5\times {10}^6 {\mathrm{ms}}^{-1}$ normal to the field. Determine the radius of the circular orbit of the eletron. $\left(\mathrm{e}=1.6\times {10}^{-19}\mathrm{C}, {\mathrm{m}}_{\mathrm{e}}=9.1\times {10}^{-31}\mathrm{kg}\right)$

A circular loop of radius $5 \mathrm{cm}$ carrying a current of $\frac{10}{\mathrm{\pi }}\mathrm{A}$ is held in a vertical plane containing north to south direction. The sense of current is clockwise for an observer looking at the coil facing east. Give the magnitude and direction of the magnetic field due to the coil at the centre. $\left({\mathrm{\mu }}_0=4\mathrm{\pi }\times {10}^{-7}{\mathrm{TmA}}^{-1}\right)$

A horizontal overhead power line carries a current of $30 \mathrm{A}$ in the east to west direction. What is the magnitude and direction of the magnetic field due to the current at a point $1.5\mathrm{m}$ below the line. $\left({\mathrm{\mu }}_0=4\mathrm{\pi }\times {10}^{-7}\mathrm{T}-{\mathrm{mA}}^{-1}\right)$

Describe how a galvanometer can be converted into an ammeter.

A current of $\frac{1}{\mathrm{\pi }}$ ampere flows in a circular loop of radius $10\mathrm{cm}$. Find the magnetic dipole moment of the loop.