A temperature-stable resistor is made by connecting a resistor made of silicon in series with one made of iron. If the required total resistance is 1300 Q in a wide temperature range around 20°C, what should be the resistance of the (a) silicon resistor and (b) iron resistor? (See the table below.) Resistivities of Some Materials at Room Temperature (20°C) Resistivity,p Temperature Coefficient of Resistivity, a (K-) Material (w. y) Typical Metals Silver 1.62 x 10- 4.1 x 10-3 Copper Gold Aluminum 1.69 x 10- 4.3 x 10- 2.35 x 10- 4.0 x 10- 4.4 x 10-3 2.75 x 10- Manganin Tungsten Iron 4,82 x 10- 5.25 x 10-8 0.002 x 10-3 4.5 x 10- 9.68 x 10- 10.6 x 10- Typical Semiconductors 2.5 x 10 8.7 x 10 2.8 x 10-3 6.5 x 10-3 Platinum 3.9 x 10- Silicon, pure Silicon, n-type Silicon, p-type -70 x 10-3 Typical Insulators 1010 – 1014 Glass Fused quartz ~104 "An alloy specifically designed to have a small value of a. "Pure silicon doped with phosphorus impurities to a charge carrier density of 10" m-. Pure silicon doped with aluminum impurities to a charge carrier density of 10m.
A temperature-stable resistor is made by connecting a resistor made of silicon in series with one made of iron. If the required total resistance is 1300 Q in a wide temperature range around 20°C, what should be the resistance of the (a) silicon resistor and (b) iron resistor? (See the table below.) Resistivities of Some Materials at Room Temperature (20°C) Resistivity,p Temperature Coefficient of Resistivity, a (K-) Material (w. y) Typical Metals Silver 1.62 x 10- 4.1 x 10-3 Copper Gold Aluminum 1.69 x 10- 4.3 x 10- 2.35 x 10- 4.0 x 10- 4.4 x 10-3 2.75 x 10- Manganin Tungsten Iron 4,82 x 10- 5.25 x 10-8 0.002 x 10-3 4.5 x 10- 9.68 x 10- 10.6 x 10- Typical Semiconductors 2.5 x 10 8.7 x 10 2.8 x 10-3 6.5 x 10-3 Platinum 3.9 x 10- Silicon, pure Silicon, n-type Silicon, p-type -70 x 10-3 Typical Insulators 1010 – 1014 Glass Fused quartz ~104 "An alloy specifically designed to have a small value of a. "Pure silicon doped with phosphorus impurities to a charge carrier density of 10" m-. Pure silicon doped with aluminum impurities to a charge carrier density of 10m.
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Transcribed Image Text:A temperature-stable resistor is made by connecting a resistor made of silicon in series with one made of iron. If the required total
resistance is 1300 Q in a wide temperature range around 20°C, what should be the resistance of the (a) silicon resistor and (b) iron
resistor? (See the table below.)
Resistivities of Some Materials at Room Temperature (20°C)
Resistivity, p
(N-m)
Temperature Coefficient
of Resistivity, a (K-')
Material
Typical Metals
Silver
1.62 × 10-8
4.1 × 10-3
Copper
Gold
Aluminum
1.69 × 10-8
2.35 x 10-
4.3 x 10-3
4.0 × 10-3
2.75 x 10-8
4.4 × 10-3
Manganin"
Tungsten
4.82 x 10-8
5.25 x 10-8
0.002 x 10-3
4.5 × 10-3
6.5 × 10-3
3.9 x 10-3
9.68 × 10-8
10.6 x 10-8
Iron
Platinum
Typical Semiconductors
2.5 x 10
Silicon, pure
Silicon, n-type
Silicon, p-typef
-70 x 10-3
8.7 x 10-4
2.8 x 10-3
Typical Insulators
1010 – 1014
Glass
Fused quartz
~106
"An alloy specifically designed to have a small value of a.
Pure silicon doped with phosphorus impurities to a charge carrier density of 10 m.
Pure silicon doped with aluminum impurities to a charge carrier density of 10m.
(a) Number
i
Units
(b) Number
i
Units
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