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Consider a negatively charged particle moving with a velocity v in a magnetic field B applied perpendicular to the plane of the paper (into the paper). The particle follows the path A or B or C or D (shown in the figure)

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Important Questions on Magnetic Effects of Current and Magnetism

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Electron moves to a region of uniform magnetic field B in the plane perpendicular to B. It finishes an orbit in  1 μs. What is the nearest value of B among the following [ mass of electron =9×10-31 kg
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A particle of charge, q and mass, m moves is a uniform magnetic field, B with a speed, V. The average acceleration for 90° turn as it moves from point 1 to 2 as shown in the figure is αq VB m. The value of α is
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A conducting circular loop of radius r carries a constant current i. It is placed in an uniform magnetic field B0 such that B0 is perpendicular to the plane of the loop. The magnetic force acting on the loop is.
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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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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)
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A square loop of sides 2 m lies in X-Y plane and carries a current, 3A and, is in the magnetic field coming out of the page (along +Z-axis). The field grows in strength at a rate, 2m T m-1 in the horizontal direction (X-axis). What is the force acting on it?
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A square loop is made from a uniform wire as shown in the figure. If a battery is connected between the points A & C, then the magnitude of the magnetic field at the center of the square is

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A steady current I flows down a long rod of radius ain such a way that its current density J=kr2r^, where k is a positive constant of appropriate dimensions, r is the radial distance from the axis and  r^ is the unit vector along the radial direction. Then the magnitude of the magnetic field at any point  rr<a inside the rod is