# Lect14 - Physics 212 Lecture 14 Biot-Savart Law r r 0 I ds...

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Physics 212 Lecture 14, Slide Physics 212 Lecture 14, Slide 1 Physics 212 Physics 212 Lecture 14 Lecture 14 Biot Biot - - Savart Savart Law Law 0 2 ˆ 4 I ds r dB r μ π × = r r :05 0 10 20 30 40 Avg Avg = 3.1 = 3.1 Confused Confused Confident Confident

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Physics 212 Lecture 14, Slide Physics 212 Lecture 14, Slide 2 Your comments on what you want to see • the derivation of the BS law (hahah BS law) (RTB) • Summary of all the different right hand rules. (EMB) • too many right hand rules!!! (CKP) • Do we get a pizza party since we got 100% on an iClicker question? (TJ) • I feel like the preflight didnt realate to the prelecture. Also I need to sort out the direction of things. (DJM) • What crosses with what? in what order? it's hard to keep everything straight. (EMB) • application of the biot savart law - will we need to be able to apply it to different situations? (NLG) • why lecture isn't as fun and noisy as it used to be (DH) I’m not running a bar—I’m trying to teach you some hard- to-grasp ideas
Physics 212 Lecture 14, Slide Physics 212 Lecture 14, Slide 3 Today Today s Plan: s Plan: Review right hand rules (many of them) Review right hand rules (many of them) Forces & Torques between wires Forces & Torques between wires Example problem Example problem Key Concepts: Key Concepts: Biot Biot -Savart Savart Law: Gives direction and Law: Gives direction and magnitude of the magnetic field due to an magnitude of the magnetic field due to an element of current. element of current. Biot Biot -Savart Savart Law applied to long wire and Law applied to long wire and to loop to loop :05

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Physics 212 Lecture 14, Slide Physics 212 Lecture 14, Slide 4 ii :22 0 2 ˆ 4 Ids r dB r μ π × = r r ds P r α R 2 , tan cos sin cos cos R rx R R r R ds dx d α θα == x θ ˆ r ds r θ 90 90 cos 4 o I B d R αα = r Says B fields caused by currents. Used to compute B at a point in space (P)
Physics 212 Lecture 14, Slide Physics 212 Lecture 14, Slide 5 B from infinite line of current Current I OUT Direction: Thumb: on I Fingers: curl in direction of B r = distance from wire 7 0 41 0 / Tm A μ π 0 2 I B r = r Magnitude: B :07 Integrating gives result Integrating gives result 0 2 ˆ 4 I ds r dB r × = r r

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Lect14 - Physics 212 Lecture 14 Biot-Savart Law r r 0 I ds...

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