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Chapter 29 Magnetic Fields
Chapter 29 Magnetic Fields

... a) Electric - charge created just by sitting b) Magnetic – current ultimately charged at source, but charge must be moving  right hand current 2) Field Lines a) Electric – lines start and end b) Magnetic – circular loop lines ...
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CHAPTER 19
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... circular paths (or helical paths—see the figure on page 599). The radius of this circle is: ---Radius of a charged particle’s path in a magnetic field Wires produce magnetic fields themselves: ---Magnetic field produced by a long, straight wire , “I” is the current in the wire, “r” is the distance f ...
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The Aharonov-Bohm-Effect - Karl-Franzens
The Aharonov-Bohm-Effect - Karl-Franzens

... This thesis sums up the theoretical prediction and the experimental confirmation of the so-called Aharonov-Bohm-Effect [AB-Effect]. With their work Yakir Aharonov and David Bohm revolutionized the role of electromagnetic potentials in physics. To show that, simple demonstrative examples, groundbreak ...
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... where n is the number of turns per unit length, I is the current, and n̂ points along the axis determined by the cross product of direction of radius vector and direction of current. (a) If you double the radius of the solenoid, how much does the magnetic field inside the solenoid change? (b) The fo ...
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Electric Potential - McMaster Physics and Astronomy

... A circular loop of wire of radius r is in a uniform magnetic field, with the plane of the loop perpendicular to the direction of the field. The magnetic field varies with time according to B(t) = a + bt, where a and b are constants. a) Calculate the magnetic flux through the loop at t = 0. b) Calcul ...
< 1 ... 649 650 651 652 653 654 655 656 657 ... 661 >

Aharonov–Bohm effect

The Aharonov–Bohm effect, sometimes called the Ehrenberg–Siday–Aharonov–Bohm effect, is a quantum mechanical phenomenon in which an electrically charged particle is affected by an electromagnetic field (E, B), despite being confined to a region in which both the magnetic field B and electric field E are zero. The underlying mechanism is the coupling of the electromagnetic potential with the complex phase of a charged particle's wavefunction, and the Aharonov–Bohm effect is accordingly illustrated by interference experiments.The most commonly described case, sometimes called the Aharonov–Bohm solenoid effect, takes place when the wave function of a charged particle passing around a long solenoid experiences a phase shift as a result of the enclosed magnetic field, despite the magnetic field being negligible in the region through which the particle passes and the particle's wavefunction being negligible inside the solenoid. This phase shift has been observed experimentally. There are also magnetic Aharonov–Bohm effects on bound energies and scattering cross sections, but these cases have not been experimentally tested. An electric Aharonov–Bohm phenomenon was also predicted, in which a charged particle is affected by regions with different electrical potentials but zero electric field, but this has no experimental confirmation yet. A separate ""molecular"" Aharonov–Bohm effect was proposed for nuclear motion in multiply connected regions, but this has been argued to be a different kind of geometric phase as it is ""neither nonlocal nor topological"", depending only on local quantities along the nuclear path.Werner Ehrenberg and Raymond E. Siday first predicted the effect in 1949, and similar effects were later published by Yakir Aharonov and David Bohm in 1959. After publication of the 1959 paper, Bohm was informed of Ehrenberg and Siday's work, which was acknowledged and credited in Bohm and Aharonov's subsequent 1961 paper.Subsequently, the effect was confirmed experimentally by several authors; a general review can be found in Peshkin and Tonomura (1989).
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