With your help, the FTOE staff were able to re-start the hawkion accelerator. But after a few minutes of operation, disaster strikes. Among other things, the accelerator magnets seem to be malfunctioning. Operations director Melissa Lewis decides the accelerator needs to be shut down, but just as she gives the order, there's a huge bang and warning lights start going off everywhere. Several systems start to lose power and there's a risk that the hawkion containment systems may fail, with potentially catastrophic consequences for Lakeview.

After a quick investigation, it turns out that the circuit that controls all of the key systems is currently drawing too much current from the main battery. A bright but intense FTOE intern proposes a risky but possibly brilliant solution: to dump the hawkion beam into an absorber rather than slowing the particles down gradually. They want to take two batteries from another project at the lab and use them to help power the accelerator and the beam dump cooling system at the same time. In addition to the 230 V main battery, they say they will need 140 V from project I.A.N.'s primary battery ($V_{bat1}$) and only 5 V from its backup battery ($V_{bat2}$) to steer the particles into the beam dump.

From the accelerator schematics you find the following resistances for different components that need to be powered in order to dump the beam safely:

• Monitor Lights: $R_{ML}=100\;\Omega$
• Control System: $R_{CS}=700\;\Omega$
• Beam Dump Cooling: $R_{BDC}=950\;\Omega$
• Electromagnetic Calorimeter System: $R_{ECS}=500\;\Omega$
• Accelerator Magnets: $R_{AM}=300\;\Omega$
• Magnetic Containment System: $R_{MCS}=425\;\Omega$

Will this circuit work without drawing any more than the 0.35 A from the main battery?

Conceptual Questions:

1. How can you tell if two resistors are in series? Out of current, resistance, & voltage, what would HAVE to be the same for resistors in series? What would be different?
2. How can you tell if two resistors are in parallel? Out of current, resistance, & voltage, what would HAVE to be the same for resistors in parallel? What would be different?
3. How would you combine resistors (series or parallel) to decrease the total resistance? What about to increase the resistance?
4. What is the loop rule in circuits? What conservation principle is it related to?
5. What is the node rule in circuits? What conservation principle is it related to?
6. What steps do you need to follow in order to use loop/node rules?
7. If you have time at the end - you can revisit the challenge problem from Week 6