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1) An ?-particle has a charge of +2e and a mass of 6.64 multiply.gif 10-27 kg. It is accelerated from rest through a potential difference that has a value of 1.12 multiply.gif 106 V and then enters a uniform magnetic field whose magnitude is 3.80 T. The ?-particle moves perpendicular to the magnetic field at all times.

(a) What is the speed of the ?-particle?

(b) What is the magnitude of the magnetic force on it?

(c) What is the radius of its circular path?

2) A 45-m length of wire is stretched horizontally between two vertical posts. The wire carries a current of 68 A and experiences a magnetic force of 0.15 N. Find the magnitude of the earth's magnetic field at the location of the wire, assuming the field makes an angle of 69.5° with respect to the wire.

3) A wire carries a current of 0.66 A. This wire makes an angle of 58° with respect to a magnetic field of magnitude 5.10 multiply.gif 10-5 T. The wire experiences a magnetic force of magnitude 6.00 multiply.gif 10-5 N. What is the length of the wire?

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