An infinitesimal elementdl = dzkis located at the origin (x, y, z) = (0,0,0) with a current I flowing along the direction of dl. What is the infinitesimal magnetic field dBat point (-1,1,1) due to this element? Ho Idz_ (î + j) а. 3

Principles of Physics: A Calculus-Based Text
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Chapter22: Magnetic Forces And Magnetic Fields
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An infinitesimal elementdl = dzkis located
at the origin (x, y, z)
(0,0,0) with a current I flowing along the direction of dl.
What is the infinitesimal magnetic field dBat point (-1,1,1) due to this element?
Ho Idz
а.
(i + j)
H, Idz
b.
4Tt 33/2
(i
+ j)
Ho Idz
(-i - i)
c.
3
Ho Idz
d.
4T 3/2
Three very long current-carrying wires are arranged as
shown in the figure. What is the force per unit length experienced by the wire at the
bottom?
I
F
а.
= zero
-21
F
b. + = (-)
L
34
(+)
F
пet
c.
L
4tl
d. -(- D
F
net
34,
L
4πί
A very long cable made of a solid
O 31
inner cylinder and a coaxial, cylindrical, outer shell with
finite thickness. The inner cylinder carries a current I while
the outer shell carries a current 21 in the opposite direction
(see figure). What is the magnitude of the magnetic field at
b < r < c?
61
H,31
а.
2 +
2nr
1 31
b.
2nr
H,31
С.
1 + 2
2r
H,31
1 - 2
d.
2tr
Transcribed Image Text:An infinitesimal elementdl = dzkis located at the origin (x, y, z) (0,0,0) with a current I flowing along the direction of dl. What is the infinitesimal magnetic field dBat point (-1,1,1) due to this element? Ho Idz а. (i + j) H, Idz b. 4Tt 33/2 (i + j) Ho Idz (-i - i) c. 3 Ho Idz d. 4T 3/2 Three very long current-carrying wires are arranged as shown in the figure. What is the force per unit length experienced by the wire at the bottom? I F а. = zero -21 F b. + = (-) L 34 (+) F пet c. L 4tl d. -(- D F net 34, L 4πί A very long cable made of a solid O 31 inner cylinder and a coaxial, cylindrical, outer shell with finite thickness. The inner cylinder carries a current I while the outer shell carries a current 21 in the opposite direction (see figure). What is the magnitude of the magnetic field at b < r < c? 61 H,31 а. 2 + 2nr 1 31 b. 2nr H,31 С. 1 + 2 2r H,31 1 - 2 d. 2tr
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