The
Two-Resistor Problem
This problem requires two resistors. Use four 1/4 watt resistors.
You will have two resistors of one value, Ra, and two
resistors of another value, Rb.
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You will need a power
supply that can produce a variable voltage - up to 25 or 30v.
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As questions are raised
in this lesson, you should record your answers and any supporting experimental
observations in your laboratory notebook. You will need that data
and those thoughts to write your report.
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Your analytical/paper
work should be done and handed to your instructor before you begin the
experimental work.
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Your analytical work should
be done entirely symbolically. You will not learn values for the
bulbs until you have done the theoretical work.
Now do the following
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Imagine applying a voltage,
V1 to two resistors in parallel. Assume both resistors have the same
wattage rating.
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Predict which resistor
will get warmer, and record your reasoning in your lab notebook.
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Imagine applying a voltage,
V2 to two resistors in series. Assume both resistors have the same
wattage rating.
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Predict which resistor
will get warmer, and record your reasoning in your lab notebook.
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Now, hand in your work
to your instructor and begin the experimental portion of this exercise.
Now, after you measure both resistors you use,
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Apply 5v to a 100W
resistor in parallel with a 150W.
Wait for the two resistors to come to thermal equilibrium. Wait at
least two minutes.
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Do not touch the resistors
during this period. Then, see if you can determine which resistor
is warmer. (You can use a thermocouple to measure temperature?)
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Determine if the resistors
are operating within their rated range.
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Now, slowly increase the
voltage above 5v. At this point you are putting a voltage across
the resistors which will eventually take them beyond their rated wattage.
As you carefully and slowly increase the voltage, the resistor which first
emits smoke is the one which is warmest. Turn off the power supply,
and let that resistor cool down to room temperature and measure the resistance
value to determine if it has changed value.
Now, using the other two
resistors, measure both resistors. Then
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Apply 12v to a 100W
resistor in series with a 150W.
Wait for the two resistors to come to thermal equilibrium. Wait at
least two minutes. Do not touch the resistors during this period.
Then, experimentally determine which resistor is warmer.
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Determine if the resistors
are operating within their rated range.
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Now, slowly increase the
voltage above 12v. At this point you are putting a voltage across
the resistors which will eventually take them beyond their rated wattage.
As you carefully and slowly increase the voltage,
the resistor which first emits smoke is the one which is warmest.
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Turn off the power supply,
and let that resistor cool down to room temperature and measure the resistance
value to determine if it has changed value.
Finally, you need to interpret and explain your results in your report/lab
book if you have not done so already.