What does the analog (similarity) of bar magnet’s and solenoid’s magnetic field lines suggest ?
The analogy (similarity) of the magnetic field lines of the bar magnet and solenoid is shown as follows :
$(i)$ A bar magnet may be thought of as a large number of circulating current in analog with a solenoid.
$(ii)$ Cutting a bar magnet in half the each piece behave like an independent magnet. Cutting a solenoid from middle we get two smaller solenoids with weaker magnetic properties.
$(iii)$ Like a bar magnet, the magnetic lines in the solenoid are continuous emerging from one face of the solenoid and entering into the other face and form a closed loop.
$(iv)$ Like a bar magnet the magnetic field at point on the axis, the magnetic field of solenoid at point on axis is $\mathrm{B}=\frac{\mu_{0}}{4 \pi} \frac{2 m}{r^{3}}$.
Two magnetic dipoles $X$ and $Y$ are placed at a separation $d$, with their axes perpendicular to each other. The dipole moment of $Y$ is twice that of $X$. A particle of charge $q$ is passing through their mid-point $P$, at angle $\theta = 45^o$ with the horizontal line as shown in the figure. What would be the magnitude of force on the particle at that instant ? ($d$ is much larger than the dimensions of the dipole)
Due to a small magnet intensity at a distance $x$ in the end on position is $9$ $Gauss$. What will be the intensity at a distance $\frac{x}{2}$ on broad side on position..... $Gauss$
A magnetic needle of negligible breadth and thickness compared to its length, oscillates in a horizontal plane with a period $T$. The period of oscillation of each part obtained on breaking the magnet into $n$ equal parts perpendicular to the length is
Two magnets of equal mass are joined at right angles to each other as shown the magnet $1$ has a magnetic moment $3 $ times that of magnet $2$. This arrangement is pivoted so that it is free to rotate in the horizontal plane. In equilibrium what angle will the magnet $1$ subtend with the magnetic meridian
Two similar bar magnets $P $ and $Q$ , each of magnetic moment $M,$ are taken, If $P$ is cut along its axial line and $Q$ is cut along its equatorial line, all the four pieces obtained have