R1, R2, R3 by fsd65350

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									Series and Parallel Resistive Circuits                                                  Name:

                                                                                        Name:

                                                                                        Name:
Individual Resistors
                Resistor #1                                       Resistor #2                                   Resistor #3
 Color code value = ________ 1 _______ [W]         Color code value = ________ 1 _______ [W]     Color code value = ________ 1 _______ [W]
   DV [V]           I [mA]            R [kW]         DV [V]           I [mA]            R [kW]     DV [V]           I [mA]            R [kW]
    1.00              1.00             1.00           2.00              1.00             2.00       3.00              1.00             3.00
    2.10              2.00             1.05           4.50              2.00             2.25       6.40              2.00             3.20
    3.00              3.00             1.00           6.20              3.00             2.07       9.20              3.00             3.07
    3.80              4.00             0.95           8.00              4.00             2.00       11.90             4.00             2.98
    5.00              5.00             1.00           9.90              5.00             1.98       15.20             5.00             3.04
    6.20              6.00             1.03           12.40             6.00             2.07       18.00             6.00             3.00
    7.00              7.00             1.00           14.00             7.00             2.00       21.20             7.00             3.03
    8.40              8.00             1.05           15.70             8.00             1.96       23.90             8.00             2.99
                   R1,ave [kW] = 1.01                                R2,ave [kW] = 2.04                            R3,ave [kW] = 3.04
                  % Var (R1) = 3.3                                  % Var (R2) = 4.5                              % Var (R3) = 2.4
 Graph Data        Slope [kW] =                    Graph Data        Slope [kW] =                Graph Data        Slope [kW] =
  (V vs. I):   y-intercept [V] =                    (V vs. I):   y-intercept [V] =                (V vs. I):   y-intercept [V] =

Experimental Uncertaintities (Entire Lab Exercise)
 Experimental                  Smallest Measured    Percent
                 Uncertainty
   Quantity                          Value         Uncertainty
   I [mA]                            1.00             0.00
   DV [V]                            1.00             0.00
                    Largest % Uncertainty = 0.00
                                         Individual Resistors (R1, R2, R3)
              30
                       Resistor #1
                       Resistor #2
                                                                                 y = 2.9762x + 0.2071
                                                                                      R2 = 0.9995
                       Resistor #3
              25
                       Linear (Resistor #1)
                       Linear (Resistor #2)
                       Linear (Resistor #3)

              20
                                                                                  y = 1.9512x + 0.3071
                                                                                       R2 = 0.9976
Voltage [V]




              15


                                                                                    y = 1.0369x - 0.1036
                                                                                         R2 = 0.9964
              10




               5




               0
                   0      1             2       3      4       5      6      7             8             9
                                                      Current [mA]
Series Combinations
                Resistors #1 & #2                                     Resistors #2 & #3
    DV [V]              I [mA]             R [kW]         DV [V]              I [mA]             R [kW]
      3.00                1.00              3.00            5.00                1.00              5.00
      6.40                2.00              3.20            9.90                2.00              4.95
      9.20                3.00              3.07           15.60                3.00              5.20
     11.90                4.00              2.98           21.00                4.00              5.25
     15.00                5.00              3.00           25.00                5.00              5.00
     18.40                6.00              3.07           30.00                6.00              5.00
     21.30                7.00              3.04           34.60                7.00              4.94
     24.00              8.00             3.00              40.00              8.00             5.00
                    Rexp,ave [kW] = 3.04                                  Rexp,ave [kW] = 5.04
                    % Var (Rexp) = 2.4                                    % Var (Rexp) = 2.3
                        Slope [kW] =                                          Slope [kW] =
Graph of V vs. I:                                     Graph of V vs. I:
                    y-intercept [V] =                                     y-intercept [V] =
                       R1,ave [kW] =        1.01                             R2,ave [kW] =        2.04
        Theory:        R2,ave [kW] =        2.04              Theory:        R3,ave [kW] =        3.04
                       Rtheo [kW] = 3.05                                     Rtheo [kW] = 5.08
Theory vs. Exp:        % Diff (R) = 0.2               Theory vs. Exp:        % Diff (R) = 0.7


Voltage Check: The voltage sum should equal the total measured voltage.
            Resistors #1 & #2                            Resistors #2 & #3
    DV1 [V]             DV2 [V]         DV1+DV2 [V]       DV2 [V]             DV3 [V]         DV2+DV3 [V]
                                            0.00                                                  0.00
                     DVtotal,exp [V]=                                      DVtotal,exp [V]=
                                                  Series Combinations
              45
                           Resistors #1 & #2
                           Resistors #2 & #3                                y = 4.9488x + 0.3679
              40
                           Linear (Resistors #1 & #2)                            R² = 0.9988
                           Linear (Resistors #2 & #3)
              35


              30
                                                                                        y = 3.0024x + 0.1393
                                                                                             R² = 0.9993
Voltage [V]




              25


              20


              15


              10


               5


               0
                   0   1             2              3    4       5      6           7              8           9
                                                        Current [mA]
Parallel Combinations
                Resistors #1 & #2                                    Resistors #2 & #3
    DV [V]              I [mA]             R [kW]        DV [V]              I [mA]             R [kW]
      0.65                1.00              0.65           1.20                1.00              1.20
      1.30                2.00              0.65           2.43                2.00              1.22
      2.10                3.00              0.70           3.58                3.00              1.19
      2.70                4.00              0.68           4.70                4.00              1.18
      3.33                5.00              0.67           6.00                5.00              1.20
      4.20                6.00              0.70           7.25                6.00              1.21
      4.80                7.00              0.69           8.35                7.00              1.19
      5.30              8.00             0.66              9.70              8.00             1.21
                    Rexp,ave [kW] = 0.67                                 Rexp,ave [kW] = 1.20
                    % Var (Rexp) = 3.0                                   % Var (Rexp) = 1.1
                        Slope [kW] =                                         Slope [kW] =
Graph of V vs. I:                                    Graph of V vs. I:
                    y-intercept [V] =                                    y-intercept [V] =
                       R1,ave [kW] =        1.01                            R2,ave [kW] =        2.04
        Theory:        R2,ave [kW] =        2.04             Theory:        R3,ave [kW] =        3.04
                       Rtheo [kW] = 0.68                                    Rtheo [kW] = 1.22
Theory vs. Exp:        % Diff (R) = 0.3              Theory vs. Exp:        % Diff (R) = 1.7


Current Check: The sum of the currents should equal the total measured current.
            Resistors #1 & #2                              Resistors #2 & #3
    I1 [mA]             I2 [mA]         I1+I2 [mA]       I2 [mA]             I3 [mA]         I2+I3 [mA]
                                            0.00                                                 0.00
                     Itotal,exp [mA]=                                     Itotal,exp [mA]=
                                               Parallel Combinations
              12

                                                                           y = 1.2073x - 0.0314
                       Resistors #1 & #2                                        R² = 0.9996
                       Resistors #2 & #3
              10
                       Linear (Resistors #1 & #2)
                       Linear (Resistors #2 & #3)


               8

                                                                                y = 0.6783x - 0.005
Voltage [V]




                                                                                    R² = 0.9975
               6




               4




               2




               0
                   0   1            2               3    4       5     6    7            8            9
                                                        Current [mA]
Series and Parallel Combination
(Place R2 & R3 in parallel, then R1 in series with that.)

             Resistors #1 & (#2 & #3)
    DV [V]              I [mA]             R [kW]
      2.20                1.00              2.20
      4.40                2.00              2.20
      6.50                3.00              2.17
      8.90                4.00              2.23
      9.90                5.00              1.98
     12.25                6.00              2.04
     14.40                7.00              2.06
     16.50              8.00             2.06
                    Rexp,ave [kW] = 2.12
                    % Var (Rexp) = 4.3
                       Slope [kW] =
Graph of V vs. I:
                    y-intercept [V] =
                        R1,ave [kW] =       1.01
        Theory:        R2,ave [kW] =        2.04
                       R3,ave [kW] =        3.04
                       Rtheo [kW] = 2.23
Theory vs. Exp:        % Diff (R) = 5.4


Current Check: Should have I1=I2+I3 and I1=Itotal
    I1 [mA]             I2 [mA]            I3 [mA]         I2+I3 [mA]         Itotal [mA]
      3.00                1.05             2.00              3.05                 3.01
                                   % Diff (I1, I2+I3) = 1.67
                                                      % Diff (I1, Itotal) = -0.33


Voltage Check: Should have DV2=DV3 and DVtotal=DV1+DV2
    DV1 [V]             DV2 [V]            DV3 [V]        DV1+DV2 [V]         DVtotal [V]
      3.00             1.55            1.50              3.05           3.01
              % Diff (DV2, DV3) = 3.33
                                       % Diff (DVtotal, DV1+DV2) = 1.33
                               Series & Parallel Combination
              18
                                                         y = 2.0042x + 0.3625
                                                              R² = 0.9966
              16


              14


              12
Voltage [V]




              10


               8


               6


               4


               2


               0
                   0   1   2        3      4       5      6           7         8   9
                                          Current [mA]

								
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