1. Wire L == L = Mol 2. Hollow cylinder 26 877 L = l» a Mol 2TT L = 3. Parallel wires. d - In - a πT l» d, d » a Hol In a 4. Coaxial conductor b In - a Hol 27T ¹) 20t 2a 2a1 2a e 5. Circular loop -Hof (In 4-2.45) 2TT € = 2προ, ρο » d L = 6. Solenoid L = MON²S l l» a 7. Torus (of circular cross section) L = Mo ²[Po - Vp² - a²] 8. Sheet e (in 22 +0.5) b + 1 L = μ, 2 In +4 d

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter30: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 30.6CQ
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Question

Derive the inductance of three items from the table

1. Wire
L =
2. Hollow cylinder
26
L
Hol
8TT
l » a
L
Mol
2TT
3. Parallel wires
d
as
L
Hol
In
In
π
a
l» d, d >> a
27T
4. Coaxial conductor
pol
In
a
-
a
2a'
2a
l
d
l
e
5. Circular loop
Hol
2πT
d
2προ, θο » d
L
l
-
6. Solenoid
L =
In
MON'S
l
l » a
46
2.45)
7. Torus (of circular cross section)
L = μ₂N² [po - Vp² - a²]
8. Sheet
2- 2020 (12²²-25)
L = 2€ In
+ 0.5
b +
2a.
#
Po
b
d
l
Po
e
Transcribed Image Text:1. Wire L = 2. Hollow cylinder 26 L Hol 8TT l » a L Mol 2TT 3. Parallel wires d as L Hol In In π a l» d, d >> a 27T 4. Coaxial conductor pol In a - a 2a' 2a l d l e 5. Circular loop Hol 2πT d 2προ, θο » d L l - 6. Solenoid L = In MON'S l l » a 46 2.45) 7. Torus (of circular cross section) L = μ₂N² [po - Vp² - a²] 8. Sheet 2- 2020 (12²²-25) L = 2€ In + 0.5 b + 2a. # Po b d l Po e
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