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How is the magnetic field inside a given solenoid made strong?
Concept: 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
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 (Ampere’s Law)
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
Explain the significance of a radial magnetic field when a current-carrying coil is kept in it.
Concept: Moving Coil Galvanometer
Answer the following question.
Two infinitely long straight wire A1 and A2 carrying currents I and 2I flowing in the same direction are kept' distance apart. Where should a third straight wire A3 carrying current 1.5 I be placed between A1 and A2 so that it experiences no net force due to A1 and A2? Does the net force acting on A3 depend on the current flowing through it?
Concept: Force Between Two Parallel Currents (Ampere’s Law)
A planar loop of rectangular shape is moved within the region of a uniform magnetic field acting perpendicular to its plane. What is the direction and magnitude of the current induced in it?
Concept: Torque on a Rectangular Current Loop in a Uniform Magnetic Field
Assertion (A): On Increasing the current sensitivity of a galvanometer by increasing the number of turns may not necessarily increase its voltage sensitivity.
Reason (R): The resistance of the coil of the galvanometer increases on increasing the number of turns.
Select the most appropriate answer from the options given below:
Concept: Moving Coil Galvanometer
Two concentric and coplanar circular loops P and Q have their radii in the ratio 2:3. Loop Q carries a current 9 A in the anticlockwise direction. For the magnetic field to be zero at the common centre, loop P must carry ______.
Concept: Ampere’s Circuital Law
Two long straight parallel conductors carrying currents I1 and I2 are separated by a distance d. If the currents are flowing in the same direction, show how the magnetic field produced by one exerts an attractive force on the other. Obtain the expression for this force and hence define 1 ampere.
Concept: Force Between Two Parallel Currents (Ampere’s Law)
Two long straight parallel current-carrying conductors are kept ‘a’ distant apart in the air. The direction of current in both the conductors is the same. Find the magnitude of force per unit length and the direction of the force between them. Hence define one ampere.
Concept: Force Between Two Parallel Currents (Ampere’s Law)
The given figure shows a long straight wire of a circular cross-section (radius a) carrying steady current I. The current I is uniformly distributed across this cross-section. Calculate the magnetic field in the region r < a and r > a.
Concept: Ampere’s Circuital Law
In what way is the behaviour of a diamagnetic material different from that of a paramagnetic, when kept in an external magnetic field?
Concept: Magnetic Properties of Materials
Which of the following substances are diamagnetic?
Bi, Al, Na, Cu, Ca and Ni
Concept: Magnetic Properties of Materials
Which of the following substances are para-magnetic?
Bi, Al, Cu, Ca, Pb, Ni
Concept: Magnetic Properties of Materials
The susceptibility of a magnetic material is − 2.6 × 10−5. Identify the type of magnetic material and state its two properties.
Concept: Magnetic Properties of Materials
The relative magnetic permeability of a magnetic material is 800. Identify the nature of magnetic material and state its two properties.
Concept: Magnetic Properties of Materials
Draw magnetic field line when a (i) diamagnetic, (ii) paramagnetic substance is placed in an external magnetic field. Which magnetic property distinguishes this behaviour of the field line due to the substances?
Concept: Magnetic Properties of Materials
An a-particle and a proton of the same kinetic energy are in turn allowed to pass through a magnetic field `vec"B"`, acting normal to the direction of motion of the particles. Calculate the ratio of radii of the circular paths described by them.
Concept: Concept of Magnetism
