Question

2. To graphically represent the value of t, based on your data, consider equation 8: V.(t) = Voerc Because RC = t, this is equivalent to Vi(t) = Voez. Taking the natural logarithm of both sides yields In(V.) = (-1)+ + In(Vo) (Recall that In(ex) = x and In(ab) = In(a) + In(b)). Observe that this has the form of a linear equation y = mx + b for which y = ln(Vc), x=t, the slope m= (-), and the intercept b = ln(Vo). Graph the natural log of your measured values Vc from part II versus t and draw a line of best fit for the plotted points. Determine the slope m of the line you drew and use it to make an estimate of the time constant by calculating Test = -1/m. Compare this estimated value to the theoretical value of t= 10 s.

Answer 1

Aug Vic 3 in doselle? ln (Vc) 7.00 1.946 0.932 -0.017 -0.994 -2.002- 2.54 0.983 0.370 f ) 0.135*33, 73.3 0.053 Yixdating storitiene -2.937 Plot of encvel ust. Eq - ln (Ve) = (-4) t + enllo) stope of graph = m = -1/4

ätuto 6o 15 30 45 t(s) - Eqr of line = encuc) = -0.15 +2.91 slope of line z - 0.1 = I= 10 sec