Generator 1 v₁(t) 240 V (Peak) 60 Hz + LG R₁ 40 μF 20 mH 50 Ω www RHeater 100 Ω Figure 5: Heater Circuit + Generator 2 v2(t) 240 V (Peak) 60 Hz
Answer all the questions
You and your squad have sought shelter in an abandoned industrial site which contains many electrical
components. You take refuge in a warehouse. It’s now the middle of the night and it’s quite cold out.
You find an electric space heater wired to two gas generators as shown in Figure 7. The generators appear
to be exactly the same and each should have the same efficiency in converting fuel to electricity. The
generators are empty, but there is a container of gasoline present. There is enough gasoline to run one
generator for six hours or to run both generators for three hours. You’d like to stay here and stay warm
for as long as possible, however, you believe you’ll need to generate at least 100 W of heat from the
heater for you to stay warm. Each generator can be shorted out while it is not in operation (creating a
circuit not unlike how you would analyze this using superposition). Which generator(s) do you use?
1. Calculate the power dissipated as heat by RHeater if only Generator 1 is used (note that the ability to
short out the unused generator makes this very much like a superposition problem). Reminder, RMS
values are to be used for calculations.
2. Calculate the power dissipated as heat by RHeater if only Generator 2 is used.
3. Calculate the power dissipated as heat by RHeater if both generators are used together
4. Construct the circuit in Figure 9 in the CircuitJS simulator.
5. Perform a simulation, displaying the voltage across RHeater using a scope. Display the RMS average for
the trace and include a screen shot of your simulation.
6. Modify your simulated circuit to determine the voltage across RHeater from each generator operating
alone and include a screen shot of each simulation. From the simulation results, calculate the power
dissipated in R2 and compare to the expected value from the previous section.
7. Compare to the analytical values from the previous section. What is your decision about which
generator(s) to use? Reminder, CircuitJS will show peak values by default.
8. You discover that Generator 2 has been rewired to operate at 120 Hz, instead of 60 Hz. Rerun the
simulation for Generator 2 alone and include a screen shot. Does this impact your decision about
which generator(s) to use?
9. Rerun the simulation with both generators hooked up (but with generator 2 operating at 120 Hz).
Include a screen shot of the voltage waveform across RHeater. Can you explain the shape of the wave
qualitatively
Provide a clear, comprehensive, and concise conclusion from the Staying Warm Simulation in Section 5.
What did you learn? Support your conclusion with the results from your analyses (calculations and analysis
questions).
You should be addressing what you can conclude from the Staying Warm simulation (drawing on what
you’ve learned from your analysis). Your conclusion should ideally 1-2 short paragraphs.
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