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--- 184_projects:level_up_c [2022/02/17 20:05] – created dmcpadden
+++ 184_projects:level_up_c [2023/10/20 13:33] (current) – dmcpadden
@@ Line 1: / Line 1: @@
-===== Project 7B: NASA Consult Test Part 2 =====
+===== Project: NASA Consult Test Part 2 =====
-Lieutenant Maverick Mitchell has been impressed with your work over at JPL and has been considering hiring your team as permanent consultants. Maverick was all ready to sign the hiring paperwork, but just got word that NASA director Dr. Sinnay Tobb requires some extra vetting. Dr. Tobb has passed along the following tasks to test your mettle. Complete the levels and show that you're ready to be permanent consultants!
+You've impressed Lieutenant Maverick Mitchell with your consulting work over the Artemis 13 disaster. Even though it's been quick, Maverick wants to promote you to Senior Consultants, but just got word that NASA director Dr. Sinnay Tobb still requires some extra vetting. Dr. Tobb has passed along the following tasks to test your mettle, yet again. Complete the levels and show that you're ready to be senior consultants!
 === Level 1: Basic Combos ===
-For the circuits below, say that $V_{bat} = 5 V$, $R_1 = 2 \Omega$, $R_2 = 3 \Omega$, and $R_3 = 4 \Omega$. For each circuit below,
+For the circuits below, say that $V_{bat} = 5 V$, $C_1 = 6 \mu F$, $C_2 = 7 \mu F$, and $C_3 = 8 \mu F$. For each circuit below,
-a) What is the equivalent resistance of the circuit?
+a) What is the equivalent capacitance of the circuit?
-b) Which resistor would have the largest voltage drop?
+b) Which capacitor would have the largest voltage drop?
-c) Which resistor would have the smallest current?
+c) Which capacitor would have the smallest charge?
-{{  184_notes:level1circuits.png?400  }}
+{{  184_notes:level1circuits_c.png?400  }}
 === Level 2: Equal circuit elements ===
-For the circuits below, say that $V_{bat} = 16 V$ and each resistor is $R = 150 \Omega$. For each circuit,
+For the circuits below, say that $V_{bat} = 16 V$ and each capacitor is $C = 470 \mu F$. For each circuit,
-a) What is the equivalent resistance of the circuit?
+a) Which capacitors are in series? Which capacitors are in parallel? How do you know?
-b) Which resistors are in series? Which resistors are in parallel? How do you know?
+b) What is the equivalent capacitance of the circuit?
-{{  184_notes:level2circuits.png?600  }}
+{{  184_notes:level2circuits_c.png?600  }}
-=== Level 3: Resistor Circuits ===
-For the circuits below, you have been given some of the quantities for various elements around the circuit. For example, $V_1$ would correspond to the voltage across Resistor 1. For each circuit,
-a) Which resistors are in series and which resistors are in parallel? How do you know?
+=== Level 3: Capacitor Circuits ===
+For the circuits below, you have been given some of the quantities for various elements around the circuit. For example, $V_1$ would correspond to the voltage across Capacitor 1. For each circuit,
-b) Find all the missing quantities for each resistor (R, V, I, and P).
+a) Which capacitors are in series and which capacitors are in parallel? How do you know?
-c) What is the voltage, current, and power provided by the battery in your circuit?
+b) Find all the missing quantities for each capacitor (C, V, Q, and U).
-d) If the resistors in the circuit were lightbulbs, which would be the brightest?
+c) What is the voltage provided by the battery in your circuit?
+d) What is the total charge stored by the circuit? What is the total energy?
-{{  184_notes:level3circuits.png?600  }}
+{{  184_notes:level3circuits_c.png?600  }}
 === Level 4: Challenge Mode ===
-For the circuit below, say that $V_{bat1} = 9 V$, $V_{bat2} = 6 V$, and all resistors are $R = 100 \Omega$. For the circuit below,
+Consider the circuit below where initially the capacitors are all uncharged.
+a) Initially (the moment that the switch is closed), where is there current in the circuit?
-a) Are there places in your circuit that can simplify? (AKA resistors in series or in parallel?)
+b) When the switch is closed, what is the initial current provided by the battery if $V_{bat} = 6V$, all resistors are $R = 1000 \Omega$, and all capacitors are $C = 2200 mF$?
-b) Redraw the circuit after making the simplifications that you can.
+c) What would the V vs t, Q vs t, and I vs t graphs look like for each of the capacitors?
-c) How many different currents do you have in your circuit? Draw and label this on your picture. What node rule equations can you make?
+d) After the switch has been closed for a long time, where is there current in the circuit?
-d) How many different loops do you have in your circuit? What loop rule equations can you make?
+e) What is the final current provided by the battery? (After the switch has been closed for a long time.)
-e) Solve for your unknown currents. Note: you can use Wolfram Alpha or other resources online to solve the system of equations.
+f) When the switch has been closed for a long time, what is the voltage across each of the capacitors?
+g) If the switch is then opened again, what would you expect to happen? Explain in words.
-{{  184_notes:level4circuit.png?300  }}
+{{  184_notes:level4circuit_c.png?300  }}
 <WRAP info>
 === Learning Goals: ===
-  * Explain how you know something is in series. Explain what happens for current & voltage when resistors are in series.
+  * Explain how you know something is in series. Explain what happens for charge & voltage when capacitors are in series.
-  * Explain how you know something is in parallel. Explain what happens for current & voltage when resistors are in parallel.
+  * Explain how you know something is in parallel. Explain what happens for charge & voltage when capacitors are in parallel.
   * Explain what the loop rule is and the physical principle it is related to.
   * Explain what the node rule is and the physical principle it is related to.
-  * Apply V = IR & P = IV to solve for any unknown quantities in the circuit (P, I, V, & R).
+  * Apply $C = Q/V$ & $ U = 1/2C V^2$ to solve for any unknown quantities in the circuit (U, Q, V, & C).
-  * Calculate the total combined resistance for a given circuit.
+  * Calculate the total combined capacitance for a given circuit.
 </WRAP>
 Conceptual Questions:
   - What are the circuit rules that you used to solve these circuits? When did you use each of them?
-  - How do you know if something is in series or parallel (or neither)? What happens to current & voltage in each of those cases?
+  - How do you know if capacitors are in series or parallel (or neither)? What happens to current & voltage in each of those cases?
   - What are the loop & node rules? What physical principles do they relate to?
-  - The equation for power can be written in 3 different ways - what are the 3 ways & how do you get them?
+  - The equation for energy can be written in 3 different ways - what are the 3 ways & how do you get them?
   - What assumptions did you make when solving these circuits? (Hint: there are at least 3 big ones.)