Question: When a straight wire is heated, its resistance changes according to the equation R = R 0? [1 + ?(T ? T 0 )] (Eq.

When a straight wire is heated, its resistance changes according to the equation

R = R0?[1 + ?(T ? T0)]

(Eq. 17.7), where is the temperature coefficient of resistivity.

(a) Show that a more precise result, which includes the fact that the length and area of a wire change when it is heated, is

Ro[1+ (T-) 1+ ' (T- o [1 + 2' (T- 3)] R:

where ?? is the coefficient of linear expansion.

(b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0?C and heated to 100.0?C.

Ro[1+ (T-) 1+ ' (T- o [1 + 2' (T- 3)] R:

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