ࡱ> 5@ 0^bjbj22 (jXX>>>>>>>R::::LR&$NNNNN)))%%%%%%%$'R *%u>" ))" " %>>NNQ&!!!" >N>N%!" %!$!">>"NB S<<: """ g&0&"* *"RR>>>>*>")"K!cw)))%%RRd!FRRSeries and Parallel Circuits Adam Capriola and Ben York Experiment Performed: 3/16/10 Report Due and Handed in: 3/23/10 Purpose To investigate the current flow and voltages in series and parallel circuits, and also to use Ohms law to calculate equivalent resistances of series and parallel circuits. Hypothesis The calculated equivalent resistances for the series circuits will abide by the equation Req = R1 + R2 and for the parallel circuits the value will be similar to 1/Req = 1/R1 + 1/R2. The current flow is expected to be uniform throughout the series circuits, but will be stronger through the smaller resistor in the parallel circuits. The voltages across each resistor should add up to VTOT in the series circuits, and the voltages should be uniform throughout the parallel circuits. Labeled Diagrams See attached sheet. Data Part 1: Series Circuits TrialR1 (&!)R2 (&!)I (A)V1 (A)V2 (A)Req (&!)VTOT (V)110100.09060.8740.82819.01.72210510.03680.3551.7858.22.14351510.02041.011.071062.18Power supply: 2.5 V Part 2: Parallel Circuits TrialR1 (&!)R2 (&!)I (A)V1 (A)V2 (A)Req (&!)VTOT (V)151510.07011.721.7426.51.86251680.05761.681.7528.81.66368680.05391.821.7733.01.78Power supply: 2.5 V Part 3: Currents R1 (&!)R2 (&!)I1 (A)I2 (A)110510.06550.0656251680.09250.0648Power supply: 5 V Graphs Part 3: Currents Trial 1:  Average current through 10 : 0.0655 A  Average current through 51 : 0.0656 A Trial 2:  Average current through 68 : 0.0648 A  Average current through 51 : 0.0925 A Questions Part 1: 1. Examine the results of Part 1. What is the relationship between the three voltage readings: V1, V2, and VTOT? V1 plus V2 is about equal to VTOT. 2. Using the measurements you have made above and your knowledge of Ohms law, calculate the equivalent resistance (Req) of the circuit for each of the three series circuits you tested. See data table. 3. Study the equivalent resistance readings for the series circuits. For each of the three series circuits, compare the experimental results with the resistance calculated using the rule for calculating equivalent resistance outlined in the Theory section. In evaluating your results, consider the tolerance of each resistor by using the minimum and maximum values in your calculations. The range for the 10  resistor is 9.5  to 10.5 . This gives a theoretical Req range of 19.0  to 21.0  for trial 1. The calculated value of 19.0  falls just on the edge of this range. For trial 2, the 10  resistor has the same range and the 51  resistor has a range of 48.45 &! to 53.55 &!. This gives a theoretical Req range of 57.95 &! to 64.05 &!. 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Using the measurements you have made above and your knowledge of Ohm s law, calculate the equivalent resistance (Req) of the circuit for each of the three parallel circuits you tested. See data table. 5. Study the equivalent resistance readings for the parallel circuits. Do your results verify what is expected for Req from the Theory section? Yes, the calculated equivalent resistances have about the same value as 1/Req = 1/R1 + 1/R2. 6. Examine the results of Part 2. What do you notice about the relationship between the three voltage readings V1, V2, and VTOT in parallel circuits? V1, V2, and VTOT are all about equal. Part 3: 7. What did you discover about the current flow in a series circuit in Part 3? The current flow through each resistor is equal. 8. What did you discover about the current flow in a parallel circuit in Part 3? The current flow through each resistor differs. 9. If the two measured currents in your parallel circuit were not the same, which resistor had the large current going through it? Why? The smaller resistor had the largest current going through it because current prefers to go through the path of least resistance. Conclusion During part 1 of the experiment....procedure (what was done), results, expectations and sources of error. During part 2 of the experiment....procedure (what was done), results, expectations and sources of error. During part 3 of the experiment& procedure (what was done), results, expectations and sources of error. 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