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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 | ||
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- | ===== Project | + | ===== Project: NASA Consult Test Part 2 ===== |
- | Lieutenant Maverick Mitchell | + | You've impressed |
=== Level 1: Basic Combos === | === 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 | + | a) What is the equivalent |
- | b) Which resistor | + | b) Which capacitor |
- | c) Which resistor | + | c) Which capacitor |
- | {{ 184_notes:level1circuits.png? | + | {{ 184_notes:level1circuits_c.png? |
=== Level 2: Equal circuit elements === | === Level 2: Equal circuit elements === | ||
- | For the circuits below, say that $V_{bat} = 16 V$ and each resistor | + | For the circuits below, say that $V_{bat} = 16 V$ and each capacitor |
- | 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: | ||
+ | {{ 184_notes: | ||
- | === 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, | ||
- | b) Find all the missing quantities for each resistor (R, V, I, and P). | + | a) Which capacitors are in series |
- | 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 | + | c) What is the voltage provided by the battery |
+ | d) What is the total charge stored by the circuit? What is the total energy? | ||
- | {{ 184_notes:level3circuits.png? | + | |
+ | {{ 184_notes:level3circuits_c.png? | ||
=== Level 4: Challenge Mode === | === 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 | + | Consider |
+ | |||
+ | 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 | + | b) When the switch is closed, what is the initial current provided by the battery if $V_{bat} = 6V$, all resistors |
- | b) Redraw | + | 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 |
- | d) How many different loops do you have in your circuit? | + | 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 | + | f) When the switch has been closed |
+ | g) If the switch is then opened again, what would you expect to happen? Explain in words. | ||
- | {{ 184_notes:level4circuit.png? | + | {{ 184_notes:level4circuit_c.png? |
<WRAP info> | <WRAP info> | ||
=== Learning Goals: === | === Learning Goals: === | ||
- | * Explain how you know something is in series. Explain what happens for current | + | * Explain how you know something is in series. Explain what happens for charge |
- | * Explain how you know something is in parallel. Explain what happens for current | + | * Explain how you know something is in parallel. Explain what happens for charge |
* Explain what the loop rule is and the physical principle it is related to. | * 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. | * 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 | + | * Calculate the total combined |
</ | </ | ||
Conceptual Questions: | Conceptual Questions: | ||
- What are the circuit rules that you used to solve these circuits? When did you use each of them? | - 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? | - 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 |
- What assumptions did you make when solving these circuits? (Hint: there are at least 3 big ones.) | - What assumptions did you make when solving these circuits? (Hint: there are at least 3 big ones.) |