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You can find here lecture series for complete Electricity and Optics course. All related topics are explained in slides. This lecture slides contain: Current , Gauss’ Law, Ampere's Law, Gauss’ Law for Magnetism, Solenoid, Dipole Moments, Bound Current, Magnetization, Magnetic Susceptibility, Diamagnetic
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*Parallel currents attract *Anti-parallel currents repel F = I L × B
2/27/12 4 13.5 V
I 1 + I 2 ~ 500 A
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Collapse or expansion?
2/27/12 6
Since all lines of B are closed loops, any B line leaving a closed surface MUST reenter it somewhere. TRUE IN GENERAL, not just for this “dipole” example
2/27/12 7
B i d
B dl = 0 2 π r
2 π rB = μ o I B = μ o I 2 π r
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current is not continuous B can’t be factored out of the integral. insufficient symmetry finite length current segment
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2/27/12 17 Net current inside the material is zero. We are left with a surface current and therefore a magnetic moment
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Category m Km Paramagnetism *increase in B is small *aligns with Bapp Order of (+10–5), depends on temperature
Diamagnetism Decrease in B is small aligns opposite Bapp Order of (–10–5) 1 – # Ferromagnetism High degree of alignment even in weak Bapp positive and large ~ m