Another common relationship in physics is the exponential relationship. consider the relationship between x and y, where x is the independent variable and y is the dependent variable. the exponential fit can be applied to derive an expression for the relationship between x and y.

progress. gif[equation] = a e x p ( − x c )



a student measured the voltage (v) across a capacitor (in discharge mode) as a function of time (t). the student data is shown below.

time (s)

vc (v)

1.00

26.360

2.00

6.948

3.00

1.832

4.00

0.483

5.00

0.127

6.00

0.033

7.00

0.009

use excel to plot the capacitor voltage (vc) versus time (t), and apply the exponential fit. determine the fitting parameters (a and c).

v = exp(-t/ ) (3 sig. fig.)

the a unit is:

the c unit:

answer 1:

100

answer 2:

-1.33

answer 3:

v/s

answer 4:

s