Refer to the diagram here not to scale and note the coordina

Refer to the diagram here (not to scale)- and note the coordinate axes. A particle of known mass m, initially moving eastward at an unknown speed v_0, enters the space between two charged plates, of known length L. where a uniform electric field exists. After exiting the plates, the particle enters, then exits, a uniform magnetic field of known magnitude B_1 Then it enters the known uniform magnetic field B_2 at a known velocity v_2 As it enters B_2 a known magnetic force F is exerted on the particle. The data: m = 1.50 Times 10^-26 kg L = 23.4 cm B, = 56.7 mu T B_2 = 89.0 mu T 150 degree v_2 = 3.12 Times 10^5 m/s 25.0 degree F = 7.28 Times 10^-18 N north (All gravitational forces are negligible.) Describe the particle\'s travel within Bs: At what angle did it exit? At what angle did it enter? How far apart were its entry and exit points? Calculate the total time the particle spent within B_1 Calculate the electric field (magnitude and direction) produced by the plates. Suppose that-instead of entering the plates or doing any of the other travel described above-this particle had just passed (at the velocity v_0, same as above) through the center of a simple circular loop (R = 5.46 cm) carrying a known steady current (I = 7.89 A). If the force exerted on the particle as it passed through the center of the loop was the same as above (F = 7.28 Times 10^-18 N north), in what direction was the loop\'s normal vector pointing?

Solution

a) motion at particle B Is projectile or parabolic

angle = (180 - 150) = 30 degree , it exits

and it enter at 150 degree

distance between entry and exit points = 23.4 cm

F = m*v/t

t = 0.625 ms

b) E = v*B = 43.5

c) direction is clockwise