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It is desired to make a 20Omega coil of ...

It is desired to make a `20Omega` coil of wire, which has a zero thermal coefficient of resistance. To do this, a carbon resistor of resistance `R_1` is placed in series with an iron resistor of resistance `R_2`. The proportions of iron and carbon are so chosen that `R_1 +R_2 = 20Omega` for all temperatures near `20^@C.` How long are `R_1 and R_2`? `alpha_(carbon) =- 0.5xx10^(-3).^@C^(-1), alpha_(iron) = 5xx10^(-3) .^@C(-1)`

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It is desired to make a 20Omega coil of wire, which has a zero thermal coefficient of resistance. To do this, a carbon resitor fo resistane R_1 is placed in series with an iron resistor of resistance R_2 the proportions of iron and carbon are so chosen that R_1 +R_2 = 20Omega for all temperatures near 20^@C. How long are R_1 and R_2 ? alpha_(carbon) =- 0.5xx10^(-3).^@C^(-1), alpha_(iron) = 5xx10^(-3) .^@C(-1)

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