Consider a circular wire loop of radius R, mass m kept at rest on a rough surface. Let I be the current flowing through the loop and  be the magnetic field acting along horizontal as shown in Figure. Estimate the current I that should be applied so that one edge of the loop is lifted off the surface?

Explain the principle and working of a moving coil galvanometer.

Show that the magnetic field at any point on the axis of the solenoid having n turns per unit length is \(B=\frac { 1 }{ 2 } { \mu }_{ ° }nI(cos{ \theta }_{ 1 }-cos{ \theta }_{ 2 })\).

Let I₁ and I₂ be the steady currents passing through a long horizontal wire XY and PQ respectively. The wire PQ is fixed in horizontal plane and the wire XY be is allowed to move freely in a vertical plane. Let the wire XY is in equilibrium at a height d over the parallel wire PQ as shown in figure.

Show that if the wire XY is slightly displaced and released, it executes Simple Harmonic Motion (SHM). Also, compute the time period of oscillations.

Drive an expression of Potential energy of a bar magnet in a uniform magnetic field.

What difference between soft ferromagnetic materials and hard ferromagnetic materials.

Explain magnetic dipole moment of a revolving electron.

What is Toroid? Obtain an expression for magnetic field at a point.
(a) In open space interior to the toroid.
(b) In open space exterior tothe toroid.
(c) Inside the toroid.

Describe the motion of a charged particle in a uniform magnetic field.

Derive an expression for torque on a current loop placed in a magnetic field

Deduce the expression for the torque \(\vec { \tau } \) when \(\hat { n } \) unit vector n is at an angle 8 with the field.

A short bar magnet 0 magnetic field. It experiences a torque of 0.051 J.
(i) Calculate the magnitude of the magnetic field.
(ii) In which orientation will the bar magnet the in stable equilibrium in the magnetic field.

Two long and parallel street wires carrying current of 2A and 5A in the opposite direction are separated by a distance of 1 cm, Find the nature and magnitude of the magnetic force between them.

A cyclotron's frequency is 8 μHz. What should be the operating magnetic field for accelerating protons? If the radius of its dees is 50cm. Calculate the k.E (is μeV) of the proton beam produced by the accelerator.

An electron moving horizontally with a velocity of 8 x 10⁴ m/s enters a region of uniform magnetic field of 10^-5T acting vertically upward as shown in figure Find
(a) its direction and
(b) the time it takes to come out of the region of a magnetic field.