Question

A carbon resistor has a resistance of 967ohms at 0degrees. Determine it's resistance at 89 degrees. Assume the temperature coefficient of resistance for carbon at 0degrees is = 0.0006 ohms per degree C.

Answer 1

Solution;

We know;

$R=R_o$ [1+$\alpha$ (T-T_o)]

T_o is the reference temperature

$\alpha$ is the temperature coefficient of resistivity.

$R$ =967[1+0.0006$\frac{\Omega}{°c}$ (89°c-0°c)]

$R$ =(967$\times$ 1.0534)

$R$ =1018.6378 ohms

Answer

1018.6378 ohms