The theoretical value of the time constant ? for this circuit is R1 R2 R +R2 (Eq

Question

The theoretical value of the time constant ? for this circuit is R1 R2 R +R2 (Eq. 3) In order to obtain a graph which should, according to theory, be a straight line, yo data with the measured T on the vertical avis of the graph, but choosing the horizontal-axis va such that if the data matches the theory the graph would be a straight line Question 2: In order to obtain a graph which according to theory (Eq. 3) will be a straight line with slope not equal to 1, what should the horizontal-axis variable be, and what will the slope be? Your answer for the slope will be a formula (not a number) involving the constants in Eq. 3. Explain your reasoning.

Explanation / Answer

The time constant for the given circuit where R1 and R2 are parallel is given by:

Tau = (R1R2/R1+R2)C

so, if the time constant is plotted on the y axis when the fraction (1/R1+R2) is plotted on the x axis, the slope of this will be:

m = R1R2C

One can vary one of the resistances and check if the for the values of the resistances, the straight line of the above slope is obtained. If so, the time constant follows the above relationship.

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