THE Mag" segine dFs = 1 dEx B Where di is the displacement vector of the infinitesimal current segment. The total magnetic force on a finite current segment is F₁ = 1 √ (dL x B) 1. If the magnetic field is uniform in space the magnetic force on current simplifies to FB = ! (L x B). What is vector in this expression? Choose on e. a Va is the length of the current segment • is the vector from the point where the current enters the uniform field to the point where the current leaves the uniform field. is the current. 2. The magnetic field is zero to the left of the dashed line. The magnetic field to the right of the dashed line is uniform outward ourront cornuinquir ough the regio
THE Mag" segine dFs = 1 dEx B Where di is the displacement vector of the infinitesimal current segment. The total magnetic force on a finite current segment is F₁ = 1 √ (dL x B) 1. If the magnetic field is uniform in space the magnetic force on current simplifies to FB = ! (L x B). What is vector in this expression? Choose on e. a Va is the length of the current segment • is the vector from the point where the current enters the uniform field to the point where the current leaves the uniform field. is the current. 2. The magnetic field is zero to the left of the dashed line. The magnetic field to the right of the dashed line is uniform outward ourront cornuinquir ough the regio
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Transcribed Image Text:The magnetic force dFg on a infinitesimal segment of current I is
dFs = I dEx B
Where di is the displacement vector of the infinitesimal current segment. The
total magnetic force on a finite current segment is
F = 1J (dL x B)
1. If the magnetic field is uniform in space the magnetic force on current
simplifies to FB = {(x5). What is vector in this expression? Choose
one.
is the length of the current segment
is the vector from the point where the current enters the uniform field to the point where the current leaves
the uniform field.
a. What is the magnetic force on the portions of the wire to the left of the
dashed line?
•
is the current.
2. The magnetic field is zero to the left of the dashed line. The magnetic field to the right of the dashed line is uniform
outwards. A current carrying wire goes through the region as shown.
b. What is the magnetic force on the bottom wire segment? Write answer
in component vector form.
c. What is the magnetic force on the slanted wire segment? Write answer
in component vector form. Note that the displacement for this wire
segment is I = -3mi + 4mĵ.
dī
The
} = 2A
d. What is the total magnetic force on the wire? Answer in component vector form.
4m
I
3m
+y
+X
+z (out)
B=0.1 T
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