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Why does a galvanometer show a momentary deflection at the time of charging or discharging a capacitor? Write the necessary expression to explain this observation.
Concept: Moving Coil Galvanometer
What can be the causes of helical motion of a charged particle?
Concept: Solenoid and the Toroid - the Toroid
State the principle of a cyclotron.
Concept: Cyclotron
Show that the time period of revolution of particles in a cyclotron is independent of their speeds. Why is this property necessary for the operation of a cyclotron?
Concept: Cyclotron
Sketch the change in flux, emf and force when a conducting rod PQ of resistance R and length l moves freely to and fro between A and C with speed v on a rectangular conductor placed in uniform magnetic field as shown in the figure

Concept: Force on a Current - Carrying Conductor in a Uniform Magnetic Field
Electron drift speed is estimated to be of the order of mm s−1. Yet large current of the order of few amperes can be set up in the wire. Explain briefly.
Concept: Ampere’s Circuital Law
Derive the expression for the magnetic field due to a solenoid of length ‘2l’, radius ‘a’ having ’n’ number of turns per unit length and carrying a steady current ‘I’ at a point
on the axial line, distance ‘r’ from the centre of the solenoid. How does this expression compare with the axial magnetic field due to a bar magnet of magnetic moment ‘m’?
Concept: Solenoid and the Toroid - the Solenoid
Define the term self-inductance of a solenoid.
Concept: Solenoid and the Toroid - the Solenoid
How does one understand this motional emf by invoking the Lorentz force acting on the free charge carriers of the conductor? Explain.
Concept: Force Between Two Parallel Currents, the Ampere
Obtain the expression for the cyclotron frequency.
Concept: Cyclotron
A deuteron and a proton are accelerated by the cyclotron. Can both be accelerated with the same oscillator frequency? Give reason to justify your answer.
Concept: Cyclotron
Write the expression for the force `vecF` acting on a particle of mass m and charge q moving with velocity `vecV` in a magnetic field `vecB` , Under what conditions will it move in (i) a circular path and (ii) a helical path?
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
Show that the kinetic energy of the particle moving in a magnetic field remains constant.
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
Obtain the expression for the magnetic energy stored in an inductor of self-inductance L to build up a current I through it.
Concept: Solenoid and the Toroid - the Solenoid
A proton and an α-particle move perpendicular to a magnetic field. Find the ratio of radii of circular paths described by them when both have (i) equal velocities, and (ii) equal kinetic energy.
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
Using Biot-Savart law, deduce the expression for the magnetic field at a point (x) on the axis of a circular current carrying loop of radius R. How is the direction of the magnetic field determined at this point?
Concept: Magnetic Field on the Axis of a Circular Current Loop
The figure shows three infinitely long straight parallel current carrying conductors. Find the
- magnitude and direction of the net magnetic field at point A lying on conductor 1,
- magnetic force on conductor 2.

Concept: Force Between Two Parallel Currents, the Ampere
Depict the behaviour of magnetic field lines in the presence of a diamagnetic material?
Concept: Motion in a Magnetic Field
Two identical coils P and Q each of radius R are lying in perpendicular planes such that they have a common centre. Find the magnitude and direction of the magnetic field at the common centre of the two coils, if they carry currents equal to I and \[\sqrt{3}\] I respectively.

Concept: Motion in a Magnetic Field
A point charge q moving with speed v enters a uniform magnetic field B that is acting into the plane of the paper as shown. What is the path followed by the charge q and in which plane does it move?
Concept: Motion in a Magnetic Field
