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c) Which resistor would have the smallest current? | c) Which resistor would have the smallest current? | ||
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+ | {{ 184_notes: | ||
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+ | === 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, | ||
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+ | a) What is the equivalent resistance of the circuit? | ||
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+ | b) Which resistors are in series? Which resistors are in parallel? How do you know? | ||
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+ | {{ 184_notes: | ||
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+ | === 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, | ||
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+ | a) Which resistors are in series and which resistors are in parallel? How do you know? | ||
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+ | b) Find all the missing quantities for each resistor (R, V, I, and P). | ||
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+ | c) What is the voltage, current, and power provided by the battery in your circuit? | ||
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+ | d) If the resistors in the circuit were lightbulbs, which would be the brightest? | ||
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+ | {{ 184_notes: | ||
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+ | |||
+ | === 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, | ||
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+ | a) Are there places in your circuit that can simplify? (AKA resistors in series or in parallel?) | ||
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+ | b) Redraw the circuit after making the simplifications that you can. | ||
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+ | 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? | ||
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+ | d) How many different loops do you have in your circuit? What loop rule equations can you make? | ||
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+ | e) Solve for your unknown currents. Note: you can use Wolfram Alpha or other resources online to solve the system of equations. | ||
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+ | {{ 184_notes: | ||
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+ | <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. | ||
+ | </ | ||
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+ | 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.) |