Question

A carbon resistor has a resistance of 967 ohms at 0 degrees C.
Determine its resistance at 89 degrees C.
Assume the temperature coefficient of resistance for carbon at 0 degrees C is equal to 0.0006 per degree C.

Answer 1

Answer:

We use the same formula that we have for coefficient of linear expansion.

Here, R at 89 degrees= R at 0 degrees( 1 + αt ) ( where α= temperature coefficient, t= temperature gap )

Therefore, $R_{new}$ = $R_{0}$ + $R_{0}\alpha t$

                 $R_{new} = 967 + 967 ( 6* 10^{-4} )( 89 )\\\\ R_{new} = 967 + 51.63 \\\\ R_{new} = 1018$

Thus the required resistance is 1018 ohm.