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27. (a) If
v
is the speed of the positron then
v
sin
φ
is the component of its velocity in the plane that is
perpendicular to the magnetic Feld. Here
φ
is the angle between the velocity and the Feld (89
◦
).
Newton’s second law yields
eBv
sin
φ
=
m
e
(
v
sin
φ
)
2
/r
,whe
re
r
is the radius of the orbit. Thus
r
=(
m
e
v/eB
) sin
φ
.Th
epe
r
iodi
sg
iv
enby
T
=
2
πr
v
sin
φ
=
2
πm
e
eB
=
2
π
(9
.
11
×
10
−
31
kg)
(1
.
60
×
10
−
19
C)(0
.
10 T)
=3
.
6
×
10
−
10
s
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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