66 A proton of charge +e and mass m enters a uniform magnetic field B = Bỉ with an initial velocity v = voi + voj. Find an expres- sion in unit-vector notation for its velocity v at any later time t.

A particle with negative charge q and mass m= 2,58 .10-15 kg is traveling through a region containing a uniform magnetic field B= -(0,12T)k. At a particular instant of time the velocity of the particle is v=(1,05 .106m/s)(-3i+4j+12k) and the force F on the particle has a magnitude of 2,45 N. a) Determine the charge q. b) Determine the acceleration a of the particle.

A long straight wire carries a 1.5 A current. An electron moves parallel to the wire at speed 1.3 x 104 m/s. The distance between the electron and the wire is 7 cm. Calculate the magnitude of the magnetic force on the electron.

A proton, that is accelerated from rest through a potential of 60 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below. What is the proton's speed? Take т, — 1.67 х 10 27 kg and e - 1.6 x 10 19 с. B The speed, v - Units Select an answer The E-field between the plates is 1.3 x 106 N/C. What B-field is required so that the protons are not deflected? The magnetic field, B = Units Select an answer