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Irony in the cask of amontillado essay

a) What will happen to the current flowing in our circuit if we add more resistors in series? Add a second 10 kΩ resistor in series with the first so that you have the circuit in Figure 4 below. What do you think the current will be now? Measure and record the new current and corresponding nominal equivalent resistance for this circuit in the data table with your values from Part I. Remember that for series resistors, the equivalent resistance is the sum of all of the individual series resistances. Also calculate the actual resistance for your table.

Figure 4. Measuring the current with two 10 k resistors in series.

b) Add one of the 4.7 kΩ resistors in series to your circuit so that you now have two 10 kΩ and a 4.7 kΩ resistor in a single circuit. Record the current, nominal equivalent resistance, and calculated actual resistance in your data table.

c) Finally, add the other 4.7 kΩ resistor in series so that you now have two 10 kΩ and two 4.7 kΩ resistors in a single circuit. Record the current, nominal equivalent resistance, and calculated actual resistance in your data table.

d) Now let’s build a circuit with two parallel 10 kΩ resistors as in Figure 5 below. Add 1 Ω resistors to each branch of the circuit so we can measure the current in each branch. Use the high gain leads as before to measure the voltage on the 1 Ω resistors; for convenience you only need to touch the leads to either end of a 1 Ω resistor rather than plugging the leads into the breadboard. Compare the current in each of the three branches of the circuit and record the values for your lab report.

Figure 5. Two 10 kΩ resistors in parallel. Several 1 Ω resistors are added for current measurement.

Question 5. Find the equivalent resistance of the circuit having two parallel 10 kΩ resistors (remember parallel resistors add in inverse, refer to your text if you are unfamiliar with equivalent resistance of parallel resistors). Does the current you measured in the series resistor (the bottom one in Figure 5) roughly agree with what is expected according to the equivalent resistance you calculated?

Question 6. What current did you predict should be flowing in each branch of this circuit? Why is this current the same as when you had only a single 10 kΩ resistor in the circuit? Support your answer mathematically using Ohm’s law.

1

5 7/6/2020 10:26 AM

10 kΩ +3.3V A 10 kΩ +3.3V V 1 Ω A

10 kΩ +3.3V A 10 kΩ +3.3V V 1 Ω A

10 kΩ 10 kΩ +3.3V A 10 kΩ +3.3V V 1 Ω A

1 Ω 1 Ω 10 kΩ 10 kΩ +3.3V A 10 kΩ +3.3V V 1 Ω A

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