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## Homework Statement

Hi Physicsforum, this is my first post so apology if I make unclear equation. I try to solve this question by pluging t0 as temp. at Valley and t as temp. at Antartitca directly as oppose to setting separate equation. I got different answer than the solution said

While taking photographs in Death Valley on a day

when the temperature is 58.0°C, Bill Hiker finds that

a certain voltage applied to a copper wire produces

a current of 1.00 A. Bill then travels to Antarctica

and applies the same voltage to the same wire. What

current does he register there if the temperature is

-88.0°C? Assume that no change occurs in the wire’s

shape and size.

The answer from solution book is 1.98 A

## Homework Equations

ρ = [ρ

_{0}(1+α(T-T

_{0}))]

R = [R

_{0}(1+α(T-T

_{0}))]

## The Attempt at a Solution

R

_{antart}= [R

_{valley}(1+α(T-T

_{0}))]

V/I

_{antart}= [V/I

_{valley}(1+α(T-T

_{0}))]

V are same so eliminate V on both side,

1/I

_{antart}= [1/I

_{valley}(1+α(T-T

_{0}))]

I

_{antart}= I

_{valley}/(1+α(T-T

_{0}))

substitute

I

_{antart}= 1.00A/(1+(3.9*10^-3)(-88c-58c)) = 2.32 A