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Finger [1]
3 years ago
11

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 capital omega in a wide temperature range around 20degrees Celsius, what should be the resistances of the two resistors? The temperature coefficients of the resistivities for iron and silicon are: alphairon = 5.0times 10-3 K-1
Physics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

R_{Si} = 81.25 ohm

R_{Fe} = 1218.75 ohm

Explanation:

As we know that the two resistors are made to combine so that we will get temperature stable resistor

so we will have

\alpha_i = 5.0 \times 10^{-3}

\alpha_s = -75 \times 10^{-3}

now we know that

R_1\alpha_1\Delta T + R_2\alpha_2\Delta T = 0

R_1 (5 \times 10^{-3}) - R_2(75 \times 10^{-3})= 0

R_1 = 15 R_2

also we know that

R_1 + R_2 = 1300

R_{Si} = 81.25 ohm

R_{Fe} = 1218.75 ohm

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