L2-Circuits - Circuits Physics 7B Lecture 2 Prof Conway...

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Circuits Physics 7B - Lecture 2 Prof. Conway
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Bernoulli’s Principle “The energy density in a fluid in equilibrium is the same everywhere.” We express this in the form of Bernoulli’s Equation: or, comparing two points in a fluid path:
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Fluid Resistance in real pipes, fluid flows more slowly next to walls: there is a resistance R leading to energy loss in pipe wall energy lost Δ E th is proportional to current I: Δ E th /vol = IR
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Fluid Resistance - PRS A 100-foot garden hose has resistance to water, such that it loses 10 J/s at a flow rate of 0.001 m 3 /s. What is the resistance, including the units? A. 0.01 J-m 3 /s B. 0.01 kJ-s/m 6 C. 10,000,000 J/s-m 6 D. 0.0001 m 3 /J E. 10 7 J-s/m 6 Δ E th /vol = IR R = ( Δ E th /vol)/I Δ E th /vol = (10 J/s)/(0.001 m 3 /s) R = 10 7 J-s/m 6
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Units of R all terms in Bernoulli equation are in units of energy/volume I: volume/second 㱺! R: J-s/m 6 resistance typically independent of I
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Pumps placing a pump in a fluid circuit can change pressure (but not always!)
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