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The figure shows a region of length 'l' with a uniform magnetic field of  0.3 T in it and a proton entering the region with velocity 4×105 m s-1 making an angle 60° with the field. If the proton completes 10 revolution by the time it cross the region shown, 'l' is close to (mass of proton = 1.67×10-27 kg, charge of the proton= 1.6×10-19 C)

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Important Questions on Magnetic Effects of Current and Magnetism

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A charged particle carrying charge 1 μC is moving with velocity (2i^+3j^+4k^) m s-1. If an external magnetic field of (5i^+3j^-6k^)×10-3T exists in the region where the particle is moving then the force on the particle is F×10-9 N . the vector F is :
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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.
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A conducting circular loop of radius r carries a constant current i. It is placed in a 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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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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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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In the diagram shown, I1, I2 are the magnitude of current in the square loop and infinite long straight conductor respectively. The net magnetic field at the centre of loop is zero, then
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In the figure shown, there are two semicircles of radii r1 and r2 in which a current i is flowing. The magnetic induction at the Centre O will be

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