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;
[tex] R_{89} = R_{0} + R_{0}(\alpha T) [/tex]
Substituting into the equation, we have;
[tex] R_{89} = 976 + 976*(0.0006*89) [/tex]
[tex] R_{89} = 976 + 976*(0.0534) [/tex]
[tex] R_{89} = 976 + 52.1184 [/tex]
[tex] R_{89} = 1028.1184 \ Ohms [/tex]
