EASY
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Helmholtz coil is used to produce uniform magnetic field between coils.

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Important Questions on Magnetic Effects of Electric Current

MEDIUM
A wire bent in the shape of a regular n polygonal loop carries a steady current I. Let l be the perpendicular distance of a given segment and R be the distance of a vertex both from the centre of the loop. The magnitude of the magnetic field at the centre of the loop is given by,
MEDIUM
Two infinitely long straight wires lie in the xy - plane along the lines x=±R. The wire located at x = +R carries a constant current I1 and the wire located at x =-R carries a constant current I2. A circular loop of radius R is suspended with its centre at 0, 03R and in a plane parallel to the xy - plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the +j^ direction. Which of the following statements regarding the magnetic field B is (are) true?
EASY
The magnitude of a magnetic field at the centre of a circular coil of radius R , having N turns and carrying a current I can be doubled by changing
HARD
Two identical wires A and B, each of length l, carry the same current I . Wire A is bent into a circle of radius R and wire B is bent to form a square of side a. If BA and BB are the values of magnetic field at the centres of the circle and square respectively, then the ratio BABB is
MEDIUM
Two long parallel wires placed 0.08 m apart, carry currents 3 A and 5 A in the same direction. What is the distance from the conductor carrying the larger current to the point where the resultant magnetic field is zero?
MEDIUM
A small current element of length dl and carrying current is placed at (1, 1, 0) and is carrying current in '+ z' direction. If magnetic field at origin be B1 and at point (2, 2, 0) be B2 then:
HARD
Two infinitely long parallel wires carry currents of magnitude I1 and I2 and are at a distance 4 cm apart. The magnitude of the net magnetic field is found to reach a non-zero minimum values between the two wires and 1 cm away from the first wire. The ratio of the two currents and their mutual direction is
MEDIUM
A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40π rad s-1 about its axis, perpendicular to its plane. Is the magnetic field its centre is 3.8×10-9 T , then the charge carried by the ring is close to μ0=4π×10-7 N A-2.
EASY
An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the center has magnitude:
EASY
A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is B. It is then bent into a circular coil of n turns. The magnetic field at the centre of this coil of n turns will be
MEDIUM
A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field B with the distance d from the centre of the conductor is correctly represented by the figure.
MEDIUM
A long straight wire of radius a carries a steady current I . the current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B' , at radial distances a2 and 2a respectively, from the axis of the wire is:
MEDIUM

Two very long, straight, and insulated wires are kept at 90° angle from each other in xy plane as shown in the figure.
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These wires carry currents of equal magnitude I , whose direction are shown in the figure. The net magnetic field at point P will be:

EASY
The magnetic induction at a point P which is at a distance of 4 cm from a long current carrying wire is 10-3 T . The field of induction at a distance 12 cm from the current will be
MEDIUM
The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is:
[Take  μ0=4π×10-7 A-2 ]
HARD
A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R. AB, BC parts are tangential to circular turn at N and D. Magnetic filed at the center of circle is:
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EASY
A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A. The magnitude of the magnetic field at the centre of coil is μ0=12.56×107 SI Units
MEDIUM
Two infinitely long wires each carrying current I along the same direction are made into the geometry as shown in the figure below.
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The magnetic field at the point P is
MEDIUM
One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the ratio of the magnetic field at the centre of the loop BL to that at the centre of the coil BC, i.e. BLBC will be
HARD

Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the figure. The smaller loop carries current I1 in the anti-clockwise direction and the larger loop carries current I2 in the clockwise direction, with I2>2I1. Bx,y denotes the magnetic field at a point x,y in the xy-plane. Which of the following statement(s) is (are) correct?

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