Readings are taken of the resistance R of a thermistor at different temperatures T. It is suggested that the relationship between R and T is R = kTⁿ, where k and n are constants.

a. A graph is plotted with lg R on the y-axis and lg T on the x-axis. State the value of the gradient and the y-intercept in terms of k and n.

b. Values for T and R are shown in this table.

Complete the table and include absolute uncertainties in lg (R/Ω).

c. i. Plot a graph of lg (R/Ω) against lg (T/K). Include error bars.

ii. Draw the line of best fit and a worst acceptable line on your graph.

iii. Determine the gradient of your line of best fit and the uncertainty in your value.

iv. Determine the y-intercept of your graph (this is where the x-value, in this case, lg (T/K), is zero). Give the uncertainty in your value.

v. Determine values for n and k and the uncertainties in your answers.

Transcribed Image Text:

T/K R/2 lg (T/ K) lg (R / 2) 273 550 + 10 283 480 ± 10 293 422 + 10 303 370 + 10 313 330 + 10 Table P2.7