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 1200 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.)

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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 1200 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 x 10-8
4.1 X 10-
Copper
1.69 x 10-8
4.3 x 10-
4.0 x 10-
4.4 x 10-3
Gold
2.35 x 10-
2.75 x 10-8
4.82 x 10
5.25 x 10-8
Aluminum
Manganin
Tungsten
0.002 x 10
4.5 x 10-
Iron
9.68 X 10-8
6.5 x 10-3
3.9 x 10-
10.6 x 10
Typtcal Semiconductors
2.5 x10
8.7 x 10
2.8 x 10-
Platinum
Silicon, pure
-70 x 10-
Silicon, n-type"
Silicon, p-type"
Typical Insulators
10- 1014
Glass
Fused quartz
"An alloy specifically designed to have a small value of a
"Pure silicon doped with phosphorus impurities to a charge car rier density of 19m
"Pure silicon doped with aluminum impurities to a charge carrier density of 10 m
(a) Number
i
Units
(b)
Number
i
Units
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 1200 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 x 10-8 4.1 X 10- Copper 1.69 x 10-8 4.3 x 10- 4.0 x 10- 4.4 x 10-3 Gold 2.35 x 10- 2.75 x 10-8 4.82 x 10 5.25 x 10-8 Aluminum Manganin Tungsten 0.002 x 10 4.5 x 10- Iron 9.68 X 10-8 6.5 x 10-3 3.9 x 10- 10.6 x 10 Typtcal Semiconductors 2.5 x10 8.7 x 10 2.8 x 10- Platinum Silicon, pure -70 x 10- Silicon, n-type" Silicon, p-type" Typical Insulators 10- 1014 Glass Fused quartz "An alloy specifically designed to have a small value of a "Pure silicon doped with phosphorus impurities to a charge car rier density of 19m "Pure silicon doped with aluminum impurities to a charge carrier density of 10 m (a) Number i Units (b) Number i Units
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