Question

The resistance of a conductor at 500°C is 12Ω, at 60°C it is 15Ω. What is the resistance at a) 0°C; b) 194°C?
Ω = Ohms

Answer 1

i suppose u can use this relation:
\[R _{T} = R _{T _{o}} [ 1 + \alpha (T - T _{o}) ]\]
where,
To = reference temperature (deg Celsius)
T = temperature of interest (deg Celsius)
R(To) = resistance at reference temperature (ohm)
R(T) = resistance at temperature of interest (ohm)
a = temperature coefficient of resistivity (1/deg Celsius)

so first, take T = 500 deg C and To = 60 deg C and the resistances respectively, to find the value of a. once u know a, take To = 0 deg C, and T = any one of the given temp. u can find R(To). in a similar way, find out R at 194 deg C.