MEDIUM
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Define Lorentz force.

Important Questions on Magnetism and Electromagnetism

MEDIUM
Two long wires with no contact are placed perpendicular to each other. i, and i2, are currents flowing through these wires respectively. The magnetic force on a small length 'd' of the second wire situated at a distance 'l' from, the first wire is proportional to, 
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A wire of length, l carries a current I along the X- axis. The magnetic force acting on the wire is given by F=IB0L(k^-j^)T where B0 is a constant. The existing magnetic field B is
EASY
ABCD is a rectangular loop made of uniform wire. If AD=BC=2 cm, what is the magnetic force per unit length acting on wire DC due to wire AB if ammeter reads 20 A. (The length of AB and DC are large in comparison with other two sides)
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MEDIUM
A square loop of side 2a, and carrying current I is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed parallel to the z-axis and passing through the point (0, b, 0),(b>> a). The magnitude of the torque on the loop about z-axis is given by.
EASY
Two long parallel wires are separated by a distance of 2.50 cm. The force per unit length that each wire exerts on the other is 4×10-5 N m-1, and the wires repel each other. The current in one wire is 0.5 A. What is the current in the second wire? (Take μ0=4π×10-7 S.I. Unit)
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A straight wire carrying current I is lying along the axis of a circular loop carrying current I. The force on this wire due to circular loop is proportional to (Assume axis of the circular loop is perpendicular to the plane of the loop)
EASY
A long wire carrying a current of 8 A is placed in a uniform magnetic field of 1.2 T. The direction of the field makes an angle θ with the direction of the current. The force experienced by a50 cm segment of the wire is found to be 2.4 N. If the wire is rotated so that the angle between the direction of the field and that of the current becomes 2θ, then the force on the segment of the wire would be
MEDIUM

A copper rod of mass m slides under gravity on two smooth parallel rails l distance apart and set an angle θ to the horizontal. At the bottom, the rails are joined by a resistance R in figure. There is a uniform magnetic field B perpendicular to the plane of the rails. The terminal velocity of rod is

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EASY

The magnitude and direction of a force vector acting on a unit length of thin wire carrying a current I at point O, if the wire has a semicircular shape of radius R as shown in the figure.

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MEDIUM
When a current carrying conductor is placed in a magnetic field, it experiences a mechanical force. What should be the angle between the magnetic field and the length of the conductor so that the force experienced is:
(i) Zero
(ii) Maximum
MEDIUM
In an experiment, setup A consists of two parallel wires which carry currents in opposite directions as shown in the figure. A second setup B is identical to setup A, except that there is a metal plate between the wires.

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Let FA and FB be the magnitude of the force between the two wires in setup A and setup B, respectively.

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P, Q and R form an equilateral triangle of side 10 cm lying in the plane of the figure. Through each of the vertices an infinite wire passes perpendicular to this plane. The wire through P carries a current of 10 A going into the plane while the wires through Q and R carry 10 A current coming out of the plane.

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The force per unit length on the wire through P is

EASY
The force acting on a current carrying wire joining two fixed points A and B in a uniform magnetic field
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A long wire of mass m per unit length lies immersed in a magnetic field B. What is the magnitude of the current which must pass through the wire so that it may remain suspended?
MEDIUM

A uniform magnetic field pointing top to bottom in a plane of paper. When an electron is allowed to move perpendicular to it, it gets deflected outwards. The electron must be moving along:

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EASY
A wire of length L carries current I along x axis. A magnetic field B=B0(ı^-ȷ^-k^)T acts on the wire. The magnitude of magnetic force acting on the wire is
MEDIUM
A metallic rod of mass per unit length 0.5 kg m-1 is lying horizontally on a smooth inclined plane which makes an angle of 30° with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is
EASY
A square loop ABCD carrying a current i , is placed near and coplanar with a long straight conductor XY carrying a current I , the net force on the loop will be:

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