Question

A carbon resistor has a resistance of 976 ohms at 0 degrees C. Determine its resistance at 89 degrees C​

Answer 1

Answer:

1028.1184 Ohms

Explanation:

Given the following data;

• Initial resistance, Ro = 976 Ohms
• Initial temperature, T1 = 0°C
• Final temperature, T2 = 89°C

Assuming the temperature coefficient of resistance for carbon at 0°C is equal to 0.0006 per degree Celsius.

To find determine its new resistance, we would use the mathematical expression for linear resistivity;

$R_{89} = R_{0} + R_{0}(\alpha T)$

Substituting into the equation, we have;

$R_{89} = 976 + 976*(0.0006*89)$

$R_{89} = 976 + 976*(0.0534)$

$R_{89} = 976 + 52.1184$

$R_{89} = 1028.1184 \ Ohms$