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what is the solution to this question? While taking photographs in Death Valley

ID: 1678569 • Letter: W

Question

what is the solution to this question? While taking photographs in Death Valley on a day when thetemperature is 53.0°C, Bill Hikerfinds that a certain voltage applied to a iron wire produces a current of 1.000 A. Bill thentravels to Antarctica and applies the same voltage to the samewire. What current does he register there if the temperature is-88.0°C? Assume that no change occurs in the wire's shape andsize.
A
what is the solution to this question? While taking photographs in Death Valley on a day when thetemperature is 53.0°C, Bill Hikerfinds that a certain voltage applied to a iron wire produces a current of 1.000 A. Bill thentravels to Antarctica and applies the same voltage to the samewire. What current does he register there if the temperature is-88.0°C? Assume that no change occurs in the wire's shape andsize.
A

Explanation / Answer

We know that according to ohms law V =IR As voltage applied is constant then current I is inverselyproportional to resistance R. Then I1/I2 =R2/R1 R1 = Ro(1+t1) R2 =  Ro(1+t2) Then I1/I2 =Ro(1+t2)/Ro(1+t1)        I1/I2 =(1+t2)/(1+t1) ------1 t1 = 53.0C t2 =  -88C = temperature coefficient of resistance of iron =5.0*10-3/C I1 = 1 Ampere I2 = FINAL CURRENT AT Antartica 1A/I2 =(1+5.0*10-3/C(53C))/(1+5.0*10-3/C(-88C))
Solve for I2