At 20°c, a length of copper wire has a resistance of 10.0 ω what is its resistance when the wire is heated to 65°c? let α = 0.004 at 20°c. show all work and include units of measure.

R = 11.8 ohms

Explanation:

Formula

R = R_ref[1 + a(T - T_ref)]

Givens

Solution

R = 10*[1 + 0.004(65 - 20)]

R = 10*[1 + 0.004(45)]

R = 10*[1 + 0.18]

R = 10*(1.18)

R = 11.8 ohms

Be sure you understand not to add the 1 and 0.004 together. You don't get 1.004 at any point of the solution. If you do, you won't know what to do (exactly) with the 45.

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