[ T ] The fence vector F acting on a proton with an electric charge of 1 .6×10 -19 C moving in a magnetic ?eld B where the velocity vector v is given by F = 1.6 × 10 − 19 ( v × B ) (here, v is expressed in meters per second, B in T , and F in N ). If the magnitude of force F acting on a proton is 5.9 × 10 − 17 N and the proton is moving at the speed of 300 m/sec in magnetic ?eld B of magnitude 2.4 T , find the angle between velocity vector v of the proton and magnetic ?eld B . Express the answer in degrees rounded to the nearest integer.
[ T ] The fence vector F acting on a proton with an electric charge of 1 .6×10 -19 C moving in a magnetic ?eld B where the velocity vector v is given by F = 1.6 × 10 − 19 ( v × B ) (here, v is expressed in meters per second, B in T , and F in N ). If the magnitude of force F acting on a proton is 5.9 × 10 − 17 N and the proton is moving at the speed of 300 m/sec in magnetic ?eld B of magnitude 2.4 T , find the angle between velocity vector v of the proton and magnetic ?eld B . Express the answer in degrees rounded to the nearest integer.
[
T
]
The fence vector
F
acting on a proton with an electric charge of
1
.6×10
-19
C
moving in a magnetic ?eld
B
where the velocity vector
v
is given by
F
=
1.6
×
10
−
19
(
v
×
B
)
(here,
v
is expressed in meters per second,
B
in
T
,
and
F
in
N
). If the magnitude of force
F
acting on a proton is
5.9
×
10
−
17
N
and the proton is moving at the speed of
300
m/sec
in magnetic ?eld
B
of magnitude
2.4
T
, find the angle between velocity vector
v
of the proton and magnetic ?eld
B
. Express the answer in degrees rounded to the nearest integer.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Finite Mathematics & Its Applications (12th Edition)
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