(III) A particle with charge + q and mass m travels in a uniform magnetic field B → = B 0 k ^ . At time t = 0, the particle’s speed is υ 0 and its velocity vector lies in the xy plane directed at an angle of 30° with respect to the y axis as shown in Fig. 27–47. At a later time t = t α , the particle will cross the x axis at x = α . In terms of q , m , υ 0 , and B 0 , determine ( a ) α , and ( b ) t α .
(III) A particle with charge + q and mass m travels in a uniform magnetic field B → = B 0 k ^ . At time t = 0, the particle’s speed is υ 0 and its velocity vector lies in the xy plane directed at an angle of 30° with respect to the y axis as shown in Fig. 27–47. At a later time t = t α , the particle will cross the x axis at x = α . In terms of q , m , υ 0 , and B 0 , determine ( a ) α , and ( b ) t α .
(III) A particle with charge +q and mass m travels in a uniform magnetic field
B
→
=
B
0
k
^
. At time t = 0, the particle’s speed is υ0 and its velocity vector lies in the xy plane directed at an angle of 30° with respect to the y axis as shown in Fig. 27–47. At a later time t = tα, the particle will cross the x axis at x = α. In terms of q, m, υ0, and B0, determine (a) α, and (b) tα.
() THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN BELOW.
A particle with mass m, electrical charge q and an initial velocity vo = ±oî + ÿoÎ + żok, where io, Ýo, and żo are constants, enters the magnetic field B = Boĵ and begins helical
motion. The velocity of the particle in the magnetic field is given by i = ±î + ÿî + ¿k.
A) Which of the following is the magnitude of the acceleration of the particle in the field?
O qBo
+ ż?
т
O qBo
т
qBo
+ y + ¿
O qBo
m
O qBo
² + ÿ? + ¿?
m
B) What is the period of the helical motion?
O 2Tm
qBo
2
:2
2am Vrõ + żó
qBo
O 2nm
qBo Vi? + ż²
O 2rm Vä? +¿²
qBo
O 2am
qBo
A charged particle in a constant magnetic field is moving in a circle at a speed v when a passing cosmic ray causes it to lose its charge. After that, it will move
o along a straight line perpendicular to the plane of the o along a helix that has the direction of the cosmic ray as
circle
in the same circular
path
o along a straight line at a tangent to the
çircle
in the same circle, but in the opposite
direction
its axis
(II) An unknown particle moves in a straight line through crossed electric and magnetic fields with E=1.5kV/m and B=0.034T If the electric field is turned off, the particle moves in a circular path of radius r =2.7cm What might the particle be?
Chapter 27 Solutions
Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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