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Lect19 - Physics 212 Lecture 19 LC and RLC Circuits...

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Physics 212 Lecture 19, Slide 1 Physics 212 Lecture 19 LC and RLC Circuits - Oscillation frequency - Energy - Damping
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Music Who is the Artist? A) Stephane Grappelli B) Pearl Django C) Mark O’Connor’s Hot Swing Trio D) Miles Davis E) Cassandra Wilson Why?? In honor of: Wynton Marsalis’ 50 th Birthday Absolutely Incredible Album !! Mark O’Connor fiddle Wynton Marsalis trumpet Jane Monheit vocals
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Physics 212 Lecture 18, Slide 3 Some Exam Stuff Exam Tomorrow Wed. night ( Oct. 26) at 7:00 Covers material in Lectures 9 – 18 (through last Thursday’s lecture) Bring your ID: Rooms determined by discussion section (see link) Conflict exam at 5:15 – should have signed up in gradebook by now If you have conflicts with both of these, contact Prof. Park
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Physics 212 Lecture 19, Slide 4 Your Comments Oscillators are everywhere – you will keep seeing them!!!!!! You know whats going to be really scary on Halloween? Seeing my grade for this upcoming physics test!!!! can you just give all of us A's on the test WILL DO ! How does the current not remain constant in just an LC circuit? Really? I just took a Diff Equ exam today on damping. They were horrible enough to through on an under-damped example. Now you are making me take an exam on Wednesday, and then I have to continue my learning about this stuff? EVIL!!!!! InDuctOr aNd capaciTors stiLl stInK and arE difficulT wHen solvIng circuitS. Can you show the solution of the differential equation for RLC circuits? The prelecture only mentions it, and it would be nice to solidify what is shown in the textbook during lecture. WILL DO!
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Physics 212 Lecture 19, Slide 5 C I L Q LC Circuit C Q V C = + - dt dI L V L = + - Circuit Equation: 0 = + dt dI L C Q dt dQ I = LC Q dt Q d - = 2 2 Q dt Q d 2 2 2 ω - = LC 1 = ω where
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Physics 212 Lecture 19, Slide 6 C L Same thing if we notice that and 1 k C m L Q dt Q d 2 2 2 ω - = LC 1 = ω k x m F = -kx a x dt x d 2 2 2 ω - = m k = ω
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Physics 212 Lecture 19, Slide 7 C L Time Dependence I + + - -
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Physics 212 Lecture 19, Slide 8 What is the potential difference across the inductor at t = 0 ? A) V L = 0 B) V L = Q max /C C) V L = Q max /2C At time t = 0 the capacitor is fully charged with Q max and the current through the circuit is 0 . L C Checkpoint 1a “The entire voltage drop is through the capacitor as the inductor stores no charge.” “Since the capacitor and inductor are in parallel the voltage across the inductor should be equal to the voltage across the capacitor. ” “time constant has 2.”
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Physics 212 Lecture 19, Slide 9 What is the potential difference across the inductor at t = 0 ? A) V L = 0 B) V L = Q max /C C) V L = Q max /2C Pendulum… At time t = 0 the capacitor is fully charged with Q max and the current through the circuit is 0 .
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