please answer all questions. A charged particle of mass m = 7.3X10-8 kg, moving
ID: 1259309 • Letter: P
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please answer all questions.
A charged particle of mass m = 7.3X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 1.8T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.75 m, 0) and leaves the region at (x,y) = 0, 0.75 m a time t = 710 s after it entered the region.
A charged particle of mass m = 7.3X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 1.8T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.75 m, 0) and leaves the region at (x,y) = 0, 0.75 m a time t = 710 ¼s after it entered the region.Explanation / Answer
1) v = d / T
d = 2pi R / 4 = 2 xpi x 0.75 /4 and T = 710 x 10-6 sec = 6637.17 m
v = d / T = 1659.29 m/s
4) magnetic force (qVB) = mv^2 /r [ circular motion concept]
q x 1659.29 x 1.8 = 7.3 x 10-8 x 1659.29^2 / 0.75
q = 8.97 x 10-5 C
and its negative charge . (because force is directd towards -ve x-axis)
so q = - 8.97 x 10^-5 C
2) F = mv^2 /r = 7.3 x 10-8 x 1659.29^2 / 0.75 = 0.268 N
it travels pi/2 rad in 710 us .
theta in 236.7 us = (pi /2)*236.7 / 710 = 0.524 rad = 30 degrees
Fx = - 0.268cos30 = -0.232 N
3) Fy = 0.268sin30 = - 0.134 N
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