the rc circuit

Your work on the rc circuit has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

Your comment or question:

Initial voltage and resistance, table of voltage vs. clock time:

4.02 volts, 33ohm 4.02, 0 3.5, 2.17 3.0, 6.51 2.5, 11.49 2.0, 17.58 1.5, 25.78 1.0, 35.36 .75, 47.07 .50, 60.99 .25, 85.95

Times to fall from 4 v to 2 v; 3 v to 1.5 v; 2 v to 1 v; 1 v to .5 v, based on graph.

15.41 sec, 19.27 sec, 23.87 sec, 25.63 sec. The times were attained by analyzing the graph to see where the inital time was minus the clock time for the needed voltage.

Table of current vs. clock time using same resistor as before, again starting with 4 volts +- .02 volts.

100, 0 90, 1.64 80, 4.34 70, 7.89 60, 12.05 50, 17.1 40, 23.24 30, 30.57 20, 40.77 10, 56.88

Times to fall from initial current to half; 75% to half this; 50% to half this; 25% to half this, based on graph.

17.1sec, 30.57 sec, 18.57 sec, 23.36 The currents were attained in the same manner as the voltage vs. clock time graph interperation. The two graphs look remakably similar.

The two graphs should be nearly identical in shape.

Your results look about right, except that 30.57 sec. Bring the graph to class and show me that one.

Within experimental uncertainty, are the times you reported above the same?; Are they the same as the times you reports for voltages to drop from 4 v to 2 v, 3 v to 1.5 v, etc?; Is there any pattern here?

The data seems to be pretty close, with I would estimat a 5% uncerantity.

Table of voltage, current and resistance vs. clock time:

Let me know what you did here and what, if anything, gave you trouble.

Slope and vertical intercept of R vs. I graph; units of your slope and vertical intercept; equation of your straight line.

Report for the 'other' resistor:; Resistance; half-life; explanation of half-life; equation of R vs. I; complete report.

4.0 v, 100 ohm 64.321 +/- .5 sec. T we added time intrevals, educated guess for uncertantity

You should include a much more extensive report here based on your observations for the 'other' resistor.

Number of times you had to reverse the cranking before you first saw a negative voltage, with 6.3 V .15 A bulb; descriptions.

reversed 15, yse, it was accurate.

When the voltage was changing most quickly, was the bulb at it brightest, at its dimmest, or somewhere in between?

It would glow brightly when cranked in reverse,but barely glowed on the unreversed cranking. When you are cranking backwards you are taking energy from the system. When it was changing most quickly it was brightest.

Number of times you had to reverse the cranking before you first saw a negative voltage, with 33 ohm resistor; descriptions.

4 times when ti was bulit up in froward motion it went up slowly . It came down really quickly in reverse.

How many 'beeps', and how many seconds, were required to return to 0 voltage after reversal;; was voltage changing more quickly as you approached the 'peak' voltage or as you approached 0 voltage; 'peak' voltage.

15 beeps, 15 sec. approached zero faster.

Voltage at 1.5 cranks per second.

3.5 volts

Values of t / (RC), e^(-; t / (RC) ), 1 - e^(- t / (RC)) and V_source * (1 - e^(- t / (RC) ).

3.03, .948, .952, 3.33

Your reported value of V(t) = V_source * (1 - e^(- t / (RC) ) and of the voltage observed after 100 'cranks'; difference between your observations and the value of V(t) as a percent of the value of V(t):

3.332v, 3.19v, .142v

According to the function V(t) = V_source * (1 - e^(- t / (RC) ), what should be the voltages after 25, 50 and 75 'beeps'?

25 is 13.15, 50 is 26.3, 75 is 39.14.

Better explain in detail how you got these. They aren't consistent with the voltages used.

Values of reversed voltage, V_previous and V1_0, t; value of V1(t).

-3.19, +3.19, -3.19, 1.9

How many Coulombs does the capacitor store at 4 volts?

How many Coulombs does the capacitor contain at 3.5 volts?; How many Coulombs does it therefore lose between 4 volts and 3.5 volts?;

According to your data, how long did it take for this to occur when the flow was through a 33-ohm resistor?; On the average how many Coulombs therefore flowed per second as the capacitor discharged from 4 V to 3.5 V?

According to your data, what was the average current as the voltage dropped from 4 V to 3.5 V?; How does this compare with the preceding result, how should it compare and why?

How long did it take you to complete the experiment?

3 hours

Most of what you reported is good; see my notes and see if you can fill in the blanks.