184_notes:combinations

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184_notes:combinations [2021/03/18 04:04] – [Strategies for Analysis] bartonmo184_notes:combinations [2021/11/23 21:09] (current) waterso8
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 $$R_{3,4}=R_3+R_4$$ $$R_{3,4}=R_3+R_4$$
 $$R_{3,4}=24\Omega$$ $$R_{3,4}=24\Omega$$
-At this point $R_5$ and $R_{3,4}$ are in parallel because they have the same potential difference across them. Note that $R_5$ is //not// in parallel with $R_3$ or with $R_4$ but only with combination. We can then find the combined resistance of $R_{2-4}$ then:+At this point $R_2$ and $R_{3,4}$ are in parallel because they have the same potential difference across them. Note that $R_2$ is //not// in parallel with $R_3$ or with $R_4$ but only with combination. We can then find the combined resistance of $R_{2-4}$ then:
 $$\frac{1}{R_{2-4}}=\frac{1}{R_2}+\frac{1}{R_{3,4}}$$ $$\frac{1}{R_{2-4}}=\frac{1}{R_2}+\frac{1}{R_{3,4}}$$
 $$R_{2-4}=(\frac{1}{7}+\frac{1}{24})^{-1}$$ $$R_{2-4}=(\frac{1}{7}+\frac{1}{24})^{-1}$$
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 ==== Examples ==== ==== Examples ====
-[[:184_notes:examples:Week8_wheatstone|The Wheatstone Bridge]] +  * [[:184_notes:examples:Week8_wheatstone|The Wheatstone Bridge]] 
- +    * Video Example: The Wheatstone Bridge 
-[[:184_notes:examples:Week8_charge_discharge_caps_resistors|Challenge: Charging Capacitors through Resistors]]+  [[:184_notes:examples:Week8_charge_discharge_caps_resistors|Challenge: Charging Capacitors through Resistors]] 
 +    * Video Example: Charging Capacitors through Resistors 
 +{{youtube>uj2c1Tm7ttA?large}} 
 +{{youtube>D7-1N0Jbhv8?large}}
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