Please help me answer these questions. 1.1 A wire with 3 micron radius is made from 9 cm copper, 0.5 cm iron, and 11 cm copper all joined end to end (i.e., in series). Assume the joints are perfect and have no additional resistance. What is the total resistance of the wire? (extra info Fig 1)

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.2DP
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Please help me answer these questions.

1.1 A wire with 3 micron radius is made from 9 cm copper, 0.5 cm iron, and 11 cm copper all joined end to end (i.e., in series). Assume the joints are perfect and have no additional resistance. What is the total resistance of the wire? (extra info Fig 1)

1.2 In a welding process, a current of 400 A flows through the arc when the voltage is 35 V. The length of the arc is 2.5mm, and the average diameter of the arc is 4.5mm. Calculate the current density in the arc, the electric field across the arc, and the electrical conductivity of the hot gases in the arc during welding.

1.3 A 4-79 permalloy solenoid coil needs to produce a minimum inductance of 1.5 Wb/m2. If the maximum allowed current is 8mA, how many turns are required in a wire 132cm long? (extra info Fig 2)

 

Table 20-4 Properties of selected soft magnetic materials
Permeability u,
Initial Maximum He(A - m-1)
Coercivity Retentivity Bmax Resistivity
B, (T)
(T)
(un . m)
Name
Composition
Ingot iron
99.8% Fe
150
5000
80
0.77
2.14
0.10
Low-carbon steel 99.5% Fe
200
4000
100
2.14
1.12
Silicon iron,
Fe-3% Si
270
8000
60
2.01
0.47
unoriented
Silicon iron,
Fe-3% Si
1400
50,000
7
1.20
2.01
0.50
grain-oriented
4750 alloy
Fe-48% Ni
11,000
80,000
2
1.55
0.48
4-79 permalloy
Fe-4% Mo-79% Ni
40,000
200,000
0.80
0.58
Superalloy
Fe-5% Mo-80% Ni 80,000
450,000
0.4
0.78
0.65
2V-Permendur
Fe-2% V-49% Co
800
450,000
0.4
0.78
0.65
Supermendur
Fe-2% V-49% Co
100,000
16
2.00
2.30
0.40
Metglas 2650SC Feg B13.5Sig.6C2
300,000
3
1.46
1.61
1.35
Metglas 2650S-2 Be7gB13S9
600,000
1.35
1.56
1.37
MnZn ferrite
MnZn ferrite
H5C2
10,000
7.
0.09
0.40
1.5 x 105
H5E
18,000
3
0.12
0.44
5 x 104
Nizn ferrite
K5b
290
80
0.25
0.33
2 x 1012
Transcribed Image Text:Table 20-4 Properties of selected soft magnetic materials Permeability u, Initial Maximum He(A - m-1) Coercivity Retentivity Bmax Resistivity B, (T) (T) (un . m) Name Composition Ingot iron 99.8% Fe 150 5000 80 0.77 2.14 0.10 Low-carbon steel 99.5% Fe 200 4000 100 2.14 1.12 Silicon iron, Fe-3% Si 270 8000 60 2.01 0.47 unoriented Silicon iron, Fe-3% Si 1400 50,000 7 1.20 2.01 0.50 grain-oriented 4750 alloy Fe-48% Ni 11,000 80,000 2 1.55 0.48 4-79 permalloy Fe-4% Mo-79% Ni 40,000 200,000 0.80 0.58 Superalloy Fe-5% Mo-80% Ni 80,000 450,000 0.4 0.78 0.65 2V-Permendur Fe-2% V-49% Co 800 450,000 0.4 0.78 0.65 Supermendur Fe-2% V-49% Co 100,000 16 2.00 2.30 0.40 Metglas 2650SC Feg B13.5Sig.6C2 300,000 3 1.46 1.61 1.35 Metglas 2650S-2 Be7gB13S9 600,000 1.35 1.56 1.37 MnZn ferrite MnZn ferrite H5C2 10,000 7. 0.09 0.40 1.5 x 105 H5E 18,000 3 0.12 0.44 5 x 104 Nizn ferrite K5b 290 80 0.25 0.33 2 x 1012
Table 19-1 Electrical conductivity of selected
materials at T = 300 K*
Conductivity
(ohm 1. cm 1)
Conductivity
(ohm 1. cm-1)
Material
Material
Superconductors
Semiconductors
Hg, Nb;Sn
YBa,CuzO7-x
MgB2
Group 4B elements
Si
Ge
Infinite (under certain conditions
4 X 10-6
such as low temperatures)
0.02
Metals
Compound semiconductors
Alkali metals
GaAs
AIAS
2.5 x 10-9
Na
2.13 x 105
0.1
1.64 X 105
Sic
10-10
Alkali earth metals
lonic Conductors
Mg
2.25 x 105
3.16 x 105
Indium tin oxide (ITO)
Yttria-stabilized zirconia (YSZ)
-104
<1014
Ca
Group 3B metals
Insulators, Linear, and Nonlinear Dielectrics
Al
3.77 x 105
Polymers
Polyethylene
Polytetrafluoroethylene
Polystyrene
Ga
0.66 x 105
10-15
10-18
10-17 to 10-19
10-12 to 10-17
Transition metals
Fe
1.00 x 105
Ni
1.46 x 105
Ероху
Group 1B metals
Ceramics
Cu
5.98 x 105
6.80 X 105
Alumina (Al2O3)
Silicate glasses
Boron nitride (BN)
Barium titanate (BaTiO)
C (diamond)
10-14
10-17
10-13
10-14
<10-18
Ag
Au
4.26 x 105
Transcribed Image Text:Table 19-1 Electrical conductivity of selected materials at T = 300 K* Conductivity (ohm 1. cm 1) Conductivity (ohm 1. cm-1) Material Material Superconductors Semiconductors Hg, Nb;Sn YBa,CuzO7-x MgB2 Group 4B elements Si Ge Infinite (under certain conditions 4 X 10-6 such as low temperatures) 0.02 Metals Compound semiconductors Alkali metals GaAs AIAS 2.5 x 10-9 Na 2.13 x 105 0.1 1.64 X 105 Sic 10-10 Alkali earth metals lonic Conductors Mg 2.25 x 105 3.16 x 105 Indium tin oxide (ITO) Yttria-stabilized zirconia (YSZ) -104 <1014 Ca Group 3B metals Insulators, Linear, and Nonlinear Dielectrics Al 3.77 x 105 Polymers Polyethylene Polytetrafluoroethylene Polystyrene Ga 0.66 x 105 10-15 10-18 10-17 to 10-19 10-12 to 10-17 Transition metals Fe 1.00 x 105 Ni 1.46 x 105 Ероху Group 1B metals Ceramics Cu 5.98 x 105 6.80 X 105 Alumina (Al2O3) Silicate glasses Boron nitride (BN) Barium titanate (BaTiO) C (diamond) 10-14 10-17 10-13 10-14 <10-18 Ag Au 4.26 x 105
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