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Magnetic Field due to a Current — JEE Main & Advanced Physics PYQs

93 previous year questions from Magnetic Field due to a Current with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A long, straight wire of radius r carrying a uniformly distributed current i is positioned horizontally in a uniform magnetic field B that is directed vertically upward. What will

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 2

A long, straight wire carrying a 30 A current is situated in a uniform external magnetic field of 4.0 10⁻⁴ T that is directed parallel to the current. Determine the magnitude of th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 3

A long, straight wire carrying a current of 1.0 A is positioned horizontally within a uniform magnetic field B = 1.0 10⁻⁵ T that points vertically upward, as shown in the figure. D

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 4

Determine the maximum magnitude of the magnetic field B produced by a copper wire having a diameter of 1.6 mm and carrying a current of 20 A .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 5

Using the formulae F = q v B and B = ₀ i 2 r , determine the SI units of the magnetic field B and the permeability constant ₀ respectively.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 6

Two long, straight wires are positioned along the x - and y -axes, respectively, with each carrying a current of 5 A . The currents are directed along the positive directions of th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 7

Two long, straight wires are positioned along the x - and y -axes, respectively, with each carrying a current of 5 A . The currents are directed along the positive directions of th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 8

Two long, straight wires are positioned along the x - and y -axes, respectively, with each carrying a current of 5 A . The currents are directed along the positive directions of th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 9

Two long, straight wires are positioned along the x - and y -axes, respectively, with each carrying a current of 5 A . The currents are directed along the positive directions of th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 10

Four long, straight wires, each carrying a current of 5.0 A , are arranged in a plane as depicted in the figure. Their points of intersection create a square with a side length of

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 11

Four long, straight wires, each carrying a current of 5.0 A , are arranged in a plane. Their points of intersection create a square with a side length of 5.0 cm , with centre P . P

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 12

As shown in the figure, a long wire is bent at its middle to form a right angle. The magnitudes of the magnetic fields at the points P , Q , R , and S are equal. Determine this com

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 13

A straight wire piece of length x carries a current i . A point P is located on the perpendicular bisector of this piece, at a distance d from the middle point. How does the magnet

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 14

A current of 10 A is maintained in a long wire directed along the positive z -axis. Determine the magnetic field B at the point (1 m , 0, 0) .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 15

A long, straight wire of radius r carrying a uniformly distributed current i is positioned horizontally in a uniform magnetic field B that is directed vertically upward. Determine

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 16

A transmission wire positioned 8 m above a road carries a current of 100 A . Determine the magnetic field B at a point on the road.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 17

A square loop of edge a constructed from a uniform wire is shown in the figure. A current i enters the loop at point A and exits at point C . Suppose instead that the current i ent

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 18

An equilateral triangle is formed by the wire ABC as shown in the figure. Assuming the wire to be uniform, determine the magnetic field B at the centre O of the triangle.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 19

An electric current i is carried by a wire of length l which is bent into an equilateral triangle. Determine the magnetic field B at the centre.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 20

An electric current i is carried by a wire of length l which is bent into a square. Determine the magnetic field B at the centre.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 21

A long wire carrying a current i is bent to create a plane angle . Determine the magnetic field B at a point located on the angle bisector at a distance x from the vertex.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 22

A wire of total length 2 r carrying a current i is bent to form a regular polygon of n sides. By taking the limit as n , determine the expression for the magnetic field at the cent

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 23

A wire of total length 2 r carrying a current i is bent to form a regular polygon of n sides. Determine the magnetic field B at the centre of this polygon.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 24

A long, vertical wire carrying a 10 A current in the upward direction is situated in a region where a horizontal magnetic field of magnitude 2.0 10⁻³ T points from south to north.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 25

As illustrated in the figure, two parallel wires separated by a distance of 4.0 cm carry equal currents of 10 A in opposite directions. Determine the magnitude of the magnetic fiel

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 26

Each battery shown in the figure has an emf equal to 5 V . Determine the magnetic field B at the point P for any set of values of the resistances.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 27

A straight, long wire carries a current of 20 A . A second wire carrying an equal amount of current is placed parallel to the first. If the force exerted on a 10 cm length of the s

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 28

Two parallel wires are separated by a distance of 2.0 cm and carry equal currents of 10 A in the same direction. Determine the magnitude of the magnetic field at a point located 2.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 29

Three coplanar parallel wires, each carrying a current of 10 A in the same direction, are positioned with a separation of 5.0 cm between consecutive wires. Determine the magnitude

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 30

The given figure displays a segment of an electric circuit. The long wires AB , CD , and EF possess identical resistances. The separation between adjacent wires is 1.0 cm . Wires A

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 31

A long, straight wire is fixed horizontally, carrying a current of 50.0 A . A second wire having a linear mass density of 1.0 10⁻⁴ kg m ⁻¹ is placed parallel to and directly above

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 32

A single-turn circular loop carries a current of 5.00 A . Determine the radius of the loop if the magnetic field B at its centre is 0.200 mT .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 33

A circular coil carrying current has 100 turns and a radius of 5.0 cm . It generates a magnetic field of 6.0 10⁻⁵ T at its centre. Determine the magnitude of the current.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 34

An electron completes 3 10^5 revolutions per second in a circle of radius 0.5 angstrom. Determine the magnetic field B at the centre of the circle.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 35

A conducting circular loop of radius a is joined to two long, straight wires. As shown in the figure, the straight wires carry a current i . Determine the magnetic field B at the c

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 36

Two circular coils of radii 5.0 cm and 10 cm carry equal currents of 2.0 A . The coils have 50 and 100 turns respectively and are positioned so that their planes and centres coinci

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 37

Two circular coils of radii 5.0 cm and 10 cm carry equal currents of 2.0 A . The coils have 50 and 100 turns respectively and are positioned so that their planes and centres coinci

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 38

Two circular coils having radii of 5.0 cm and 10 cm carry equal currents of 2.0 A . The coils consist of 50 and 100 turns respectively, and they are positioned so that their centre

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 39

A circular loop of radius R carries a current I . A second circular loop of radius r ( R ) carrying a current i is positioned at the centre of the larger loop. The planes of the tw

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 40

A circular loop of radius r carrying a current i is maintained at the centre of a second circular loop of radius R( r) which carries a current I . The plane of the smaller loop is

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 41

Determine the magnetic field B at the centre of curvature of a semicircular wire that has a radius of 10.0 cm and carries a current of 5.0 A .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 42

Determine the magnetic field B at the centre of a rectangular loop having length l and width b , carrying a current i .

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 43

A circular loop with a radius of 20 cm carries a 10 A current. An electron passes through the centre of the loop, crossing its plane at a speed of 2.0 10^6 m s ⁻¹ . If the electron

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 44

A piece of wire carrying a current of 6.00 A is shaped into a circular arc of radius 10.0 cm . If the arc subtends an angle of 120^ at the centre, determine the magnetic field B pr

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 45

A circular loop of radius r carries a current i . How must a long, straight wire carrying a current 4i be positioned in the plane of the circle such that the magnetic field at the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 46

A circular coil consisting of 200 turns has a radius of 10 cm and carries a current of 2.0 A . Determine the magnitude of the magnetic field B at the centre of the coil.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 47

A circular coil consisting of 200 turns has a radius of 10 cm and carries a current of 2.0 A . At what distance from the centre along the axis of the coil will the magnetic field d

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 48

Situated in a horizontal plane, a circular loop of radius 4.0 cm carries an electric current of 5.0 A in the clockwise direction when viewed from above. Determine the magnetic fiel

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 49

Situated in a horizontal plane, a circular loop of radius 4.0 cm carries an electric current of 5.0 A in the clockwise direction when viewed from above. Determine the magnetic fiel

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 50

Two parallel wires separated by a distance of 10 cm carry currents of 10 A and 40 A in the same direction. At what position should a third current be placed such that it experience

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 51

A uniform charge of 3.14 10⁻⁶ C is distributed over a circular ring having a radius of 20.0 cm . The ring is rotating about its axis with an angular velocity of 60.0 rad s ⁻¹ . Det

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 52

A long, thin, hollow cylindrical tube of radius r carries a current i along its length. Calculate the magnitude of the magnetic field at a distance r/2 from the surface, outside th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 53

A long, thin, hollow cylindrical tube of radius r carries a current i along its length. Determine the magnitude of the magnetic field at a distance r/2 from the surface, inside the

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 54

As shown in the figure, a square loop PQRS carrying a current of 6.0 A is situated near a long wire carrying 10 A . Determine the net magnetic force on the square loop.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 55

A square loop PQRS carrying a current of 6.0 A is positioned near a long wire carrying 10 A such that sides SP and RQ are parallel to the wire. Which of the following statements co

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 56

A long cylindrical tube with inner and outer radii a and b carries a current i that is distributed uniformly across its cross section. Determine the magnitude of the magnetic field

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 57

A long, cylindrical wire having radius b carries a uniformly distributed current i across its cross section. Determine the magnitude of the magnetic field at a point situated insid

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 58

A solid wire with a radius of 10 cm carries a 5.0 A current that is uniformly distributed across its cross section. Determine the magnetic field B at a point located at a distance

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 59

A solid wire with a radius of 10 cm carries a 5.0 A current that is uniformly distributed across its cross section. Determine the magnetic field B at a point located at a distance

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A solid wire with a radius of 10 cm carries a 5.0 A current that is uniformly distributed across its cross section. Determine the magnetic field B at a point located at a distance

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 61

Two large metal sheets carry surface currents as depicted in the figure. The current through a strip of width dl is given by K , dl , where K is a constant. A particle with charge

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 62

An idealized magnetic field that is uniform within a specific region and abruptly drops to zero is sometimes depicted, as illustrated in the figure. By applying Ampere's law along

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 63

Inside a long solenoid that carries a current of 5.00 A , the magnetic field B is found to be 3.14 10⁻² T . Determine the number of turns per unit length for this solenoid.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 64

A tightly-wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i . Consider a length dx of the solenoid at a distance x from one end,

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 65

A long solenoid is constructed by tightly winding a wire of radius 0.5 mm around a cylindrical nonmagnetic frame, ensuring that successive turns nearly touch one another. If the so

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 66

A tightly-wound solenoid of radius a and length l has n turns per unit length and carries an electric current i . What does the magnetic field at the centre of the solenoid tend to

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 67

An electron is observed executing uniform circular motion with a frequency of 1.00 10^8 rev s ⁻¹ inside a tightly-wound, long solenoid. If the solenoid carries a current of 2.00 A

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 68

A long, tightly-wound solenoid of radius r has n turns per unit length and carries a current i . A particle of mass m and charge q is projected from a point on the axis in a direct

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 69

A tightly-wound, long solenoid is kept with its axis parallel to a large metal sheet carrying a surface current. The surface current through a width dl of the sheet is K , dl and t

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 70

A capacitor with a capacitance of 100 F is connected to a 20 V battery for a long time before being disconnected. It is subsequently connected across a long solenoid that has 4000

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 71

A long cylindrical tube with inner and outer radii a and b carries a current i that is distributed uniformly across its cross section. Determine the magnitude of the magnetic field

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 72

Two large metal sheets carry surface currents as depicted in the figure. The current through a strip of width dl is K , dl , where K is a constant. Determine the magnetic field at

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 73

A tightly-wound, long solenoid is initially kept with its axis parallel to a large metal sheet carrying a surface current. The surface current through a width dl of the sheet is K

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 74

A copper wire with a resistance of 0.01 ohm per metre is utilized to wind a 400 -turn solenoid having a radius of 1.0 cm and a length of 20 cm . Determine the emf of a battery whic

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 75

Examine the scenario illustrated in the figure. The straight wire is kept fixed, whereas the loop is free to move under the influence of magnetic force. As a result, the loop will

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 76

A straight, current-carrying wire is positioned along the axis of a current-carrying circular loop. The straight wire

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 77

A particle is projected into a plane perpendicular to a uniform magnetic field. The area enclosed by the path traced by the particle is proportional to

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 78

A proton beam travels from north to south, and an electron beam travels from south to north. Neglecting the magnetic field of the earth, the electron beam will be deflected

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 79

A vertical wire carries an upward current. An electron beam travelling horizontally towards the wire will be deflected

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 80

Two particles X and Y carrying the same charge are accelerated through an identical potential difference before entering a region with a uniform magnetic field. They describe circu

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 81

A long, straight wire with a cross-sectional area A carries a current i . Suppose the number of free electrons per unit volume is n . An observer is positioned on a trolley that tr

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 82

Two long, parallel wires carry currents i₁ and i₂ such that i₁ > i₂ . The magnetic field at a midway point between the wires is 10 T when the currents travel in the same direction.

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 83

Two parallel wires carry currents of 20 A and 40 A in opposite directions. A third wire, which carries a current antiparallel to the 20 A current, is positioned exactly midway betw

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 84

A circular loop is placed in a vertical plane containing the north-south direction. The current it carries flows towards the north at the loop's topmost point. Suppose A is a point

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 85

A charged particle travels along a magnetic field line. The magnetic force acting on the particle is

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 86

When a charge is in motion, it generates

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 87

For a current element i , dl located at a position r , the magnetic field produced at the origin is

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 88

Examine the three quantities x = E/B , y = 1/ ₀ ₀ and z = l CR . In these expressions, l represents the length of a wire, C stands for a capacitance, and R denotes a resistance. Th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 89

A long, straight wire conducts a current along the z -axis. It is possible to identify two distinct points in the x – y plane such that

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 90

An electric current flows along the length of a hollow tube, distributed uniformly over its surface. The magnetic field

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 91

In a straight coaxial cable, the central conductor and the outer conductor transport equal currents in opposite directions. The magnetic field vanishes

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 92

A long, straight wire having radius R carries a current which is uniformly distributed across its cross section. The magnitude of the magnetic field produced is

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 93

A cylindrical conductor carries a steady electric current. Which of the following statements are true?

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