Question
The torque on a current loop is zero if the angle between the positive normal and the magnetic field is either $\theta=0^\circ$ or $\theta=180^\circ$ In which of the two orientations, the equilibrium is stable?

Answer

As we know the potential energy.
$\text{U}=-\vec{\text{m}}.\vec{\text{B}}$
In the case of stable equilibrium potential energy is minimum.
So, far $\theta=0^\circ$ Potential Energy is -ve and minimum.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The ratio of radii of two nuclei is $1: 2$. Write the ratio of their mass numbers.
Can the entire charge of a charged object 'A' be transferred to another object 'B'? If yes then how would it be possible, if not then why?
A parallel plate capacitor of capacitance C is charged to a potential V. It is then connected to another uncharged capacitor having the same capacitance. Find out the ratio of the energy stored in the combined system to that stored initially in the single capacitor.
A simple microscope is rated 5 for a normal relaxed eye. What will be its magnifying power for a relaxed farsighted eye whose near point is 40cm?
When vs potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5 x 10- 4 m/s. If the electron density in the wire is 8x1028 m- 3, calculate the resistivity of the material of wire.
State the sign convention for applying Kirchhoff's loop rules.
Find the ratio of the mean speed of hydrogen molecules to the mean speed of nitrogen molecules in a sample contammg a mixture of the two gases.
The wavelength $\lambda$ of a photon and the de-Broglie wavelength of an electron have the same value. Show that energy of a photon is (2$\lambda$mc/h) times the kinetic energy of electron; where m, c and h have their usual meaning.
An electron is placed in an electric field. If a proton is placed in its place, what will be the relation between the forces experienced by them?
A solenoid of length $0.5 m$ has a radius of $1 cm$ and is made up of 500 turns. It carries a current of $5 A$. What is the magnitude of the magnetic field inside the solenoid?