The following equation, called the Steinhart-Hart equation, approximates the rel

Question

The following equation, called the Steinhart-Hart equation, approximates the relationship between measured with a thermistor: 1/T = a + b ln(R) + c(ln (R))^3 where: T = temperature being measured R = resistance at the measured temperature a, b, c = Steinhart-Hart coefficients of the particular thermistor If a thermistor measures a temperature of T = 322 Kelvins, and the coefficients for the particular thermistor are specified as: a = 2.1E-3, b = 2.9E-4, and c = 8.7E-8. Calculate the resistance, R, at the measured temperature.

Explanation / Answer

Matlab code

syms x

eqn = 2.1e-3+2.9e-4*log(x)+8.7e-8*(log(x)^3) == 1/322;

S = solve(eqn,x,'IgnoreAnalyticConstraints',true);

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