184_projects:level_up_r

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184_projects:level_up_r [2022/02/07 22:22] – created dmcpadden184_projects:level_up_r [2022/02/16 14:17] – dmcpadden
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 === 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 $V_{bat} = 5 V$, $R_1 = 2 \Omega$, $R_2 = 3 \Omega$, and $R_3 = 4 \Omega$. For each circuit below,
 +
 a) What is the equivalent resistance of the circuit? a) What is the equivalent resistance of the circuit?
 +
 b) Which resistor would have the largest voltage drop? b) Which resistor would have the largest voltage drop?
 +
 c) Which resistor would have the smallest current? c) Which resistor would have the smallest current?
 +
 +
 +{{  184_notes:level1circuits.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,
 +
 +a) What is the equivalent resistance of the circuit?
 +
 +b) Which resistors are in series? Which resistors are in parallel? How do you know?
 +
 +
 +{{  184_notes:level2circuits.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?
 +
 +b) Find all the missing quantities for each resistor (R, V, I, and P).
 +
 +c) What is the voltage, current, and power provided by the battery in your circuit?
 +
 +d) If the resistors in the circuit were lightbulbs, which would be the brightest?
 +
 +
 +{{  184_notes:level3circuits.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,
 +
 +a) Are there places in your circuit that can simplify? (AKA resistors in series or in parallel?)
 +
 +b) Redraw the circuit after making the simplifications that you can.
 +
 +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) How many different loops do you have in your circuit? What loop rule equations can you make?
 +
 +e) Solve for your unknown currents. Note: you can use Wolfram Alpha or other resources online to solve the system of equations.
 +
 +
 +{{  184_notes:level4circuit.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 parallel. Explain what happens for current & voltage when resistors 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).
 +  * Calculate the total combined resistance 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?
 +  - 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?
 +  - What assumptions did you make when solving these circuits? (Hint: there are at least 3 big ones.)
  • 184_projects/level_up_r.txt
  • Last modified: 2022/08/16 17:49
  • by dmcpadden