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A proton projected in a magnetic field of 0.04 T travels along a helical path of radius 5.0 cm and pitch 20 cm. Find the components of the velocity of the proton along and perpendicular to the magnetic field. Take the mass of the proton =1.6×10-27 kg.

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Important Questions on Magnetic Effect of Current

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A particle moves in a circle of radius 1.0 cm under the action of a magnetic field of 0.40 T. An electric field of 200 V m-1 makes the path straight. Find the charge/mass ratio of the particle.
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A proton goes undeflected in a crossed electric and magnetic field (the fields are perpendicular to each other) at a speed of 105 m s-1. Velocity is perpendicular to both the fields. When the electric field is switched off, the proton moves along a circle of radius 2 cm. Find the magnitudes of the electric and the magnetic fields. Take the mass of the proton=1.6×10-27 kg
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A particle having mass m and charge q is released from the origin in a region in which electric field and magnetic field are given by B=+B0j^ and E=+E0i^. Find the speed of the particle as a function of its X coordinate.
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Consider a 10 cm long portion of a straight wire carrying a current of 10 A placed in a magnetic field of 0.1 T making an angle of 37° with the wire. What magnetic force does the wire experience?
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A current of 2 A enters at the corner d of a square frame abcd of side 10 cm and leaves at the opposite corner b. A magnetic field B=0.1 T exists in the space in direction perpendicular to the plane of the frame as shown in figure. Find the magnitude of the resultant magnetic force on the four sides of the frame.

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A wire of length l carries current i along the y-axis. A magnetic field exists which is given as B=B0i^+j^+k^ T. Find the magnitude of the magnetic force acting on the wire.
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A wire of length I carries a current i along the y-axis. A magnetic field exists which is given as B=B0(i^+j^+k^)T. Find the magnitude of the magnetic force acting on the wire.
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A straight, long wire carries a current of 20 A. Another wire carrying equal current is placed parallel to it. If the force acting on the unit length of the second wire is 2.0×10-4 N, what is the separation between them?