A particle with charge 2.15µC and mass 3.20 X 10-11 kg is initially travelling in the +y-direc1ion with a speed U0 = 1.45 X 105 m/s. It then enters a region containing a uniform magnetic field that is directed into and perpendicular to, the page in Fig. The magnitude of the field is 0.420 T. The region extends a distance of 25.0 cm along the initial direc1ion of travel; 75.0 cm from the point of entry into the magnetic field region is a wall. The length of the field-free region is thus 50.0 cm. When the charged particle enters the magnetic field, it follows a curved path whose radius of curvature is R. It then leaves the magnetic field after a time t1 having been deflected a distance Δx1 The particle then travels in the field-free region and strikes the wall after undergoing a total deflection Δx.
(a) Determine the radius R of the curved part of the path.
(b) Determine t1 the lime the particle spends in the magnetic field.
(c) Determine Δx1 the horizontal deflec1ion at the point of exit from the field.
(d) Determine Δx, the total horizontal deflection.

Transcribed Image Text:

Ar- Wall 75.0 cm An 25.0 cm х