Advertisements
Advertisements
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
How does the path followed by the charge get affected if its velocity has a component parallel to \[\vec{B}\] .
Concept: Motion in Combined Electric and Magnetic Fields >> Velocity Selector
If an electric field \[\vec{E}\] is also applied such that the particle continues moving along the original straight line path, what should be the magnitude and direction of the electric field \[\vec{E}\] ?

Concept: Motion in a Magnetic Field
With the help of a neat and labelled diagram, explain the principle and working of a moving coil galvanometer ?
Concept: Moving Coil Galvanometer
Define current sensitivity of a galvanometer.
Concept: Moving Coil Galvanometer
Velocity of light in glass is 2 × 108 m/s and in air is 3 × 108 m/s. If the ray of light passes from glass to air, calculate the value of critical angle.
Concept: Motion in Combined Electric and Magnetic Fields >> Velocity Selector
Why does a galvanometer when connected in series with a capacitor show a momentary deflection, when it is being charged or discharged?
How does this observation lead to modifying the Ampere's circuital law?
Hence write the generalised expression of Ampere's law.
Concept: Moving Coil Galvanometer
An electron moving horizontally with a velocity of 4 ✕ 104 m/s enters a region of uniform magnetic field of 10−5 T acting vertically upward as shown in the figure. Draw its trajectory and find out the time it takes to come out of the region of magnetic

field.
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
A straight wire of mass 200 g and length 1.5 m carries a current of 2 A. It is suspended in mid air by a uniform magnetic field B. What is the magnitude of the magnetic field?
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
Use Biot-Savart's law to find the expression for the magnetic field due to a circular loop of radius 'r' carrying current 'I', at its centre ?
Concept: Magnetic Field on the Axis of a Circular Current Loop
A flexible wire of irregular shape, abcd, as shown in the figure, turns into a circular shape when placed in a region of magnetic field which is directed normal to the plane of the loop away from the reader. Predict the direction of the induced current in the wire.

Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
A wire AB is carrying a steady current of 12 A and is lying on the table. Another wire CD carrying 5 A is held directly above AB at a height of 1 mm. Find the mass per unit length of the wire CD so that it remains suspended at its position when left free. Give the direction of the current flowing in CD with respect to that in AB. [Take the value of g = 10 ms−2]
Concept: Solenoid and the Toroid - the Solenoid
A wire AB is carrying a steady current of 10 A and is lying on the table. Another wire CD carrying 6 A is held directly above AB at a height of 2 mm. Find the mass per unit length of the wire CD so that it remains suspended at its position when left free. Give the direction of the current flowing in CD with respect to that in AB. [Take the value of g = 10 ms−2]
Concept: Solenoid and the Toroid - the Solenoid
A wire AB is carrying a steady current of 6 A and is lying on the table. Another wire CD carrying 4 A is held directly above AB at a height of 1 mm. Find the mass per unit length of the wire CD so that it remains suspended at its position when left free. Give the direction of the current flowing in CD with respect to that in AB. [Take the value of g = 10 ms−2]
Concept: Solenoid and the Toroid - the Solenoid
Two identical circular wires P and Q each of radius R and carrying current ‘I’ are kept in perpendicular planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net magnetic field at the common centre of the two coils.

Concept: Motion in a Magnetic Field
