the rc circuit

Your 'the rc circuit' report 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: **

3.5v,10s

3.0v,25s

2.5v,45s

2.0,67s

1.5v,96s

1.0v,140s

0.75v,170s

0.5v,215s

0.25v,350s

the voltage discharge slows as time progresses at a normal rate, it is an exponetial function.

** #$&* 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. **

4-2v,67s

3-1.5v,71s

2-1v,73s

1-0.5s,75s

not a linear slope, drop slows as cap charges

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

currents listed are miliamp

36-0s

31-1s

27.4-30s

23.7-45s

20.7-60s

18.3-75s

15.9-90s

13.9-105s

12.3-120s

10.7-135s

9.5-150s

8.2-165s

7.2-180s

6.4-195s

5.6-210s

4.9-225s

4.3-240s

3.8-255s

3.4-270s

3.0-285s

2.6-290s

2.3-305s

2.1-320s

1.8-335s

1.6-350s

1.4-365s

1.3-380s

1.2-395s

1.0-410s

the discharge rate slows as time progresses

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

75s

data shows that the current halfs itself each time in the same amount of time. The discharge rate is slowing

** #$&* 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? **

very close

** #$&* Table of voltage, current and resistance vs. clock time: **

0.8xA=28.8mA,25s,3v,V/I=R,3/28.8m= 104ohms

0.6xA=21.6mA,55s,2.3v, 2.3/21.6m=106ohms

0.4xA=14.4mA,100s,1.4v, 1.4/14.4m=97ohms

0.2xA=7.2mA,180s,0.65v 0.65/7.2m=90ohms

0.1xA=3.6mA,265s,0.4v 0.4/3.6m=111onms

divided voltage by current near same time intervals.

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

y=mx+b

y=current,x= resistance,m=y/x

using 100ohm as value,

21.6m/100=216x10^-6

14.4m/100=14.4x10^-6

7.2m/100=7.2x10^-6

3.6m/100=3.6x10^-6

slope is linear

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

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

10times,

somewhat accurate,

dimmed as voltage increased on capacitror

bulb brightened as cap discharges

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

most change was when the voltage drop was closest to 0,

exponential relationship.

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

by reverse cranking an opposite polarity is introduced to circuit causing a cancelling effect of stored voltage.

** #$&* 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. **

25sec to discharge,

changes quicker closer to 0

3.3v

** #$&* Voltage at 1.5 cranks per second. **

0.8v

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

** #$&* 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): **

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

** #$&* Values of reversed voltage, V_previous and V1_0, t; value of V1(t). **

** #$&* 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? **