Average Magnetic Field
A bounded volume has the following equation
4
x
2
+
2
5
y
2
+
9
z
2
≤
1
.
A charge (
q
=
+
1
0
C
)
is placed at a random postion in this whole volume. Calculate the magnitude of
B
a
v
e
r
a
g
e
magnetic field generated at
(
6
7
,
6
8
,
6
9
)
Details and Assumptions
1
)
ϵ
0
=
1
2
)
μ
0
=
1
The problem is purely original.
The answer is 0.
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1 solution
@Steven Chase
I suggest you to make this type of problem
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I'll post one like this soon. The first part will just ask for the steady state speed. The next will ask about dynamics
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@Steven Chase Sir for the new problem I am getting 2 equations B v l − i R − L d t d i = 0 F − B i l = m a
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@A Former Brilliant Member – That looks right
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@Steven Chase – @Steven Chase after simplyfying I am getting 5 v − i = i ˙ 1 0 − 5 i = v ˙
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@A Former Brilliant Member – In steady state, what happens to the time derivatives?
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@Steven Chase – @Steven Chase 0
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@A Former Brilliant Member – Check your numerical substitution also
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@Steven Chase – @Steven Chase I will be very happy if you post a nice follow up. To electromechanics problem. And sorry for the delayed solution
@Steven Chase are you posting part 3 today???
Since the charge is not moving, there is no magnetic field