Question
1. for a single wire, we need a plot of the voltage drop across a segment of wire (V ) as a function of the
1. for a single wire, we need a plot of the voltage drop across a segment of wire (V ) as a function of the length of
that segment of wire (l).
2. a plot of voltage drop across the entire wire (V ) as a function of current (I) through the wire, for each wire.
This should include a minimum of 5 different current values. This should demonstrate that each wire is an Ohmic
material (i.e., it behaves Ohm's law).
3. a table of the values and uncertainties measured for the resistance, R, the diameter, d, and the
length, l, of each wire. From those, compute the resistivity, , of each wire and propagate the uncertainty. An example
table is shown in Section 5.
4. a description of the process used to measure the values and uncertainties for R, d, and l in the previous
table.
5. assessment of each wire's composition based on your resistivity values
All the datas can be find here :
-Voltage_curent_data :
v_vs_i_wire_1 :
Current | Voltage |
0.1 | 0.608 |
0.09 | 0.547 |
0.08 | 0.487 |
0.07 | 0.425 |
0.06 | 0.364 |
0.05 | 0.304 |
0.04 | 0.242 |
0.03 | 0.181 |
0.02 | 0.121 |
0.01 | 0.058 |
v_vs_i_wire_2
Current | Voltage |
0.1 | 0.948 |
0.09 | 0.854 |
0.08 | 0.759 |
0.07 | 0.662 |
0.06 | 0.568 |
0.05 | 0.473 |
0.04 | 0.376 |
0.03 | 0.281 |
0.02 | 0.187 |
0.01 | 0.089 |
v_vs_i_wire_3
Current | Voltage |
0.1 | 1.562 |
0.09 | 1.407 |
0.08 | 1.251 |
0.07 | 1.091 |
0.06 | 0.935 |
0.05 | 0.78 |
0.04 | 0.619 |
0.03 | 0.464 |
0.02 | 0.308 |
0.01 | 0.148 |
-Voltage_lenght_data :
v_vs_l_wire_1 :
Applied length (mm) | Chnl. 0 (V) | Chnl. 0 uncert. (V) | |
0.0 | 0.005923828125 | 0.0009736595740586162 | |
50.0 | 0.0468837890625 | 0.0010745324999020002 | |
100.0 | 0.089900390625 | 0.0010988140631737777 | |
150.0 | 0.132298828125 | 0.001095746348788153 | |
200.0 | 0.172775390625 | 0.0010241062994708933 | |
250.0 | 0.2162607421875 | 0.0010568074032074437 | |
300.0 | 0.2597314453125 | 0.0010701983425769864 | |
350.0 | 0.2993876953125 | 0.0010459539072409897 | |
400.0 | 0.3417802734375 | 0.0009915080522796024 | |
450.0 | 0.3846005859375 | 0.0010530434411046177 | |
500.0 | 0.42491015625 | 0.001084707465750505 | |
550.0 | 0.4713193359375 | 0.0010693795648741595 | |
600.0 | 0.50947265625 | 0.0010809395581479755 | |
650.0 | 0.552017578125 | 0.0010157692411845666 |
v_vs_l_wire_2 :
Applied length (mm) | Chnl. 0 (V) | Chnl. 0 uncert. (V) |
0 | 0.008765625 | 0.000931806 |
50 | 0.06890625 | 0.00120958 |
100 | 0.139643555 | 0.001004771 |
150 | 0.205555664 | 0.001028952 |
200 | 0.27290625 | 0.001071404 |
250 | 0.339594727 | 0.000987725 |
300 | 0.406256836 | 0.00106675 |
350 | 0.475353516 | 0.00104188 |
400 | 0.539182617 | 0.000969967 |
450 | 0.60431543 | 0.001079058 |
500 | 0.672269531 | 0.001042997 |
550 | 0.737414063 | 0.001001244 |
600 | 0.803953125 | 0.001090359 |
650 | 0.869214844 | 0.00107976 |
v_vs_l_wire_3 :
Applied length (mm) | Chnl. 0 (V) | Chnl. 0 uncert. (V) | |
0.0 | 0.0088212890625 | 0.0009435544201631983 | |
50.0 | 0.116947265625 | 0.0010576994590144053 | |
100.0 | 0.223078125 | 0.0010446596195427128 | |
150.0 | 0.33540234375 | 0.0009909610868911159 | |
200.0 | 0.44537109375 | 0.001046762215531425 | |
250.0 | 0.5584833984375 | 0.000984694767921814 | |
300.0 | 0.667400390625 | 0.0010740985710473354 | |
350.0 | 0.7779375 | 0.001065515317222306 | |
400.0 | 0.887724609375 | 0.0010156424183452258 | |
450.0 | 0.9986337890625 | 0.0010685021002520786 | |
500.0 | 1.108271484375 | 0.0009923898565638853 | |
550.0 | 1.221509765625 | 0.001070722169758912 | |
600.0 | 1.325701171875 | 0.0010334115585333382 | |
650.0 | 1.4398916015625 | 0.0010228919514287864 |
Wire_measurements :
Overall wire length:
l = 705 5 mm
Wire 1 diameter:
d1 = 0.42 0.01 mm
Wire 2 diameter:
d2 = 0.34 0.01 mm
Wire 3 diameter:
d3 = 0.27 0.01 mm
3 Technical Information 3.1 Resistance & Resistivity Resistivity is an intrinsic property of an object (depending only on the composition) while resistance is an extrinsic property (depending on the dimensions of the object). These quantities are related by the equation: A '0_RT where p is the resistivity, R is the resistance, A is the cross-sectional area, and l is the length. 3.2 Reading from the DAQ Your team will again be using the DAQ to take data during this lab. As a reminder, you can perform the following in a Python session: from lab.daq import DAD daq = DAQO daq . readCharmel (0) You may also make use of any of the scripts in the examples/daq directory. 3.3 Power supply You will again be using the power supply in this lab. For this experiment, it is important to understand the difference between the constant current (CC) and constant voltage (CV) modes. Given Ohm's law (V 2 IR) for a xed resistance R, you can either choose a specic V and let I vary freely (CV mode) or you can choose a specic I and let V vary (CC mode). You cannot, however, choose a specic V and a specic I for a set R; Ohm's law does not give you that many degrees of freedom. 3.3 Power supply You will again be using the power supply in this lab. For this experiment, it is important to understand the difference between the constant current (CC) and constant voltage (CV) modes. Given Ohm's law (V = IR) for a fixed resistance R, you can either choose a specific V and let I vary freely (CV mode) or you can choose a specific I and let V vary (CC mode). You cannot, however, choose a specific V and a specific I for a set R; Ohm's law does not give you that many degrees of freedom. 3.4 Extracting values from a trendline For this lab, you may want to determine some of your measurements via a trendline. This is possible to do in Google Sheets or Excel using the LINEST function. LINEST performs a linear regression and returns statistics about the trendline (e.g., the slope and intercept) in a multiple cell output. Here we will outline using LINEST in Google Sheets, but the process is very similar in Excel. Consider the sample data shown below: B C D E 1 x values y values 25 2 1 2.7 3 4.4 20 4 w 4.8 15 5 4 8.3 y values 6 5 8 10 7 6 6.5 5 8 7 14.5 9 8 12.3 10 4 6 8 10 13.9 2 11 10 20.5 x values The syntax for the function is: LINEST (known_data_y, [known_data_x] , [calculate_b], [verbose]) So for our sample data here, we would use the function: LINEST (B2 : B11 , A2 : A11, True, True) When entering this equation, you will get the output on multiple cells. The position of the slope and slope uncertainty statistics are shown below: slope 1.704848485 0.2133333333 uncert 0.2472946366 1.534422867 of slope 0.8559264513 2.246165082 47.52719476 8 239.7869394 40.36206061The cells to the right of the slope and slope uncertainty are the intercept and intercept uncertainty respectively. 4 Hazard Assessment 0 Your team will be using a DC power supply in this lab. Always ensure the supply is off when plugging into or unplugging from the supply. The current output from the supply should not be over 0.1 A during this lab. 5 Results Reporting The table of measured and calculated values for your report should be formatted as follows: Coefcient of Static Friction Trial Wire 1 Wire 2 Wire 3 R (units) azlzb (1 (units) 1! (units) p (units) l where a:|:b, etc. represent your measured value and uncertaintyStep by Step Solution
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