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A rectangular loop of wire of size 4 cm × 10 cm carries a steady current of 2 A. A straight long wire carrying 5 A current is kept near the loop as shown. If the loop and the wire are coplanar, find

(i) the torque acting on the loop and
(ii) the magnitude and direction of the force on the loop due to the current carrying wire.
Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
A rectangular loop of wire of size 2 cm × 5 cm carries a steady current of 1 A. A straight long wire carrying 4 A current is kept near the loop as shown. If the loop and the wire are coplanar, find (i) the torque acting on the loop and (ii) the magnitude and direction of the force on the loop due to the current carrying wire.

Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
A rectangular loop of wire of size 2.5 cm × 4 cm carries a steady current of 1 A. A straight wire carrying 2 A current is kept near the loop as shown. If the loop and the wire are coplanar, find the (i) torque acting on the loop and (ii) the magnitude and direction of the force on the loop due to the current carrying wire.

Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
A short bar magnet of magnetic moment 0.9 J/T is placed with its axis at 30° to a uniform magnetic field. It experiences a torque of 0.063 J.
(i) Calculate the magnitude of the magnetic field.
(ii) In which orientation will the bar magnet be in stable equilibrium in the magnetic field?
Concept: Force on a Current - Carrying Conductor in a Uniform Magnetic Field
A magnetised needle of magnetic moment 4.8 × 10−2 JT−1 is placed at 30° with the direction of uniform magnetic field of magnitude 3 × 10−2 T. Calculate the torque acting on the needle.
Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
In the meter bridge experiment, balance point was observed at J with AJ = l.
(i) The values of R and X were doubled and then interchanged. What would be the new position of balance point?
(ii) If the galvanometer and battery are interchanged at the balance position, how will the alance point get affected?

Concept: Moving Coil Galvanometer
Write the expression for Lorentz magnetic force on a particle of charge ‘q’ moving with velocity `vecv` in a magnetic field`vecB`. Show that no work is done by this force on the charged particle.
Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields
State the principle of the working of a moving coil galvanometer, giving its labeled diagram ?
Concept: Moving Coil Galvanometer
Outline the necessary steps to convert a galvanometer of resistance RG into an ammeter of a given range ?
Concept: Moving Coil Galvanometer
Using Ampere’s circuital law, obtain the expression for the magnetic field due to a long solenoid at a point inside the solenoid on its axis ?
Concept: Ampere’s Circuital Law
In what respect is a toroid different from a solenoid?
Concept: Solenoid and the Toroid - the Solenoid
Draw and compare the pattern of the magnetic field lines in the two cases ?
Concept: Solenoid and the Toroid - the Solenoid
How is the magnetic field inside a given solenoid made strong?
Concept: Solenoid and the Toroid - the Solenoid
A long straight wire of a circular cross-section of radius ‘a’ carries a steady current ‘I’. The current is uniformly distributed across the cross-section. Apply Ampere’s circuital law to calculate the magnetic field at a point ‘r’ in the region for (i) r < a and (ii) r > a.
Concept: Ampere’s Circuital Law
State the underlying principle of working of a moving coil galvanometer. Write two reasons why a galvanometer can not be used as such to measure current in a given circuit. Name any two factors on which the current sensitivity of a galvanometer depends.
Concept: Moving Coil Galvanometer
Magnetic field lines can be entirely confined within the core of a toroid, but not within a straight solenoid. Why?
Concept: Solenoid and the Toroid - the Toroid
Derive the expression for force per unit length between two long straight parallel current carrying conductors. Hence define one ampere.
Concept: Force Between Two Parallel Currents, the Ampere
Explain the principle and working of a cyclotron with the help of a schematic diagram. Write the expression for cyclotron frequency.
Concept: Cyclotron
In the circuit shown in the figure, find the value of the current shown in the ammeter A.

Concept: Force on a Current - Carrying Conductor in a Uniform Magnetic Field
A square loop of side 'a' carrying a current I2 is kept at distance x from an infinitely long straight wire carrying a current I1 as shown in the figure. Obtain the expression for the resultant force acting on the loop.

Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
