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# Lec-13 - Previous Lecture dc motor Biot-Savart Law B of a...

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Previous Lecture dc motor Biot-Savart Law B of a current loop – p.

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Today Results of Exam Ampere’s Law Magnetic materials – p.
Results of HT-1 Score Number of Students mean 61 range 13 - 99 – p.

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Results of HT-1 Score Number of Students mean 61 range 13 - 99 A B C – p.
Ampere’s Law B · d l = µ 0 I encl The line integral of B around a closed loop is equal to µ 0 times the current that passes through the loop. – p.

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B of a Solenoid (1) – p.
B of a Solenoid (2) Solenoid has n turns/meter, so for length l there are a total of N turns, where N = nl. Apply Ampere’s Law to dashed loop: B · d l = b a B · d l neglect + c b B · d l B d l + d c B · d l BL + a d B · d l B d l B · d l = Bl = µ 0 NI = µ 0 nlI B = µ 0 nI – p.

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B of Toroid N = number of loops Path 1 (inside toroid): B · d l = 2 πrB = µ 0 I encl I encl = NI B = µ 0 NI 2 πr = µ 0 nI where n = N/ 2 πr Path 2 (outside toroid): B · d l = 2 πrB = 0 B = 0 – p.
Different kinds of magnetism Ferro-, Para-, Dia- – p.

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Different kinds of magnetism Ferro-, Para-, Dia- Warning! You need quantum mechanics to do this right. I’m only going to give you a rough picture.
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