Embibe Experts Solutions for Chapter: Moving Charges and Magnetism, Exercise 1: cbse-2019

A bar magnet of magnetic moment $6 \mathrm{J}/\mathrm{T}$ is aligned at $60°$ with a uniform external magnetic field of $0·44 \mathrm{T}$. Calculate the work done in turning the magnet to align its magnetic moment  normal to the magnetic field.

A bar magnet of magnetic moment $6 \mathrm{J}/\mathrm{T}$ is aligned at $60°$ with a uniform external magnetic field of $0·44 \mathrm{T}$. Calculate the work done in turning the magnet to align its magnetic moment opposite to the magnetic field.

A bar magnet of magnetic moment $6 \mathrm{J}/\mathrm{T}$ is aligned at $60°$ with a uniform external magnetic field of $0·44 \mathrm{T}$. Calculate the torque on the magnet when its magnetic moment is aligned opposite to the magnetic field.

An iron ring of relative permeability ${\mu }_r$ has windings of insulated copper wire of $n$ turns per metre. When the current in the windings is $I$, find the expression for the magnetic field in the ring.

A square loop of side $\text{'}\mathrm{a}\text{'}$ carrying a current ${\mathrm{I}}_2$ is kept at distance $\mathrm{x}$ from an infinitely long straight wire carrying a current ${\mathrm{I}}_1$ as shown in the figure. Obtain the expression for the resultant force acting on the loop.

Derive the expression for the torque acting on a current carrying loop placed in a magnetic field.

Explain the significance of a radial magnetic field when a current carrying coil is kept in it.

Consider a current $\left(I\right)$ carrying circular coil of radius $r$ and having $N$ turns placed in $YZ$ plane with its centre at the origin. Derive expression for the value of magnetic field due to it at point $(x,0,0)$.