Corbino disk. A radial electric field is applied to a disk of inner radius a, outer radius b, and thickness d. Consider the disk to be a slice of a long coaxial cable, so that the current through the 2πσυ disk is related to the voltage Vbetween inner and outer radii by I = V (Griffiths Ex. 7.2). In(b/a) Now a magnetic field B is imposed normal to the plane of the disk. Show that the current is 2πσί V reduced to I = where p is the charge density, an example of In(b/a)1+(oB/p) magnetoresistance.
Corbino disk. A radial electric field is applied to a disk of inner radius a, outer radius b, and thickness d. Consider the disk to be a slice of a long coaxial cable, so that the current through the 2πσυ disk is related to the voltage Vbetween inner and outer radii by I = V (Griffiths Ex. 7.2). In(b/a) Now a magnetic field B is imposed normal to the plane of the disk. Show that the current is 2πσί V reduced to I = where p is the charge density, an example of In(b/a)1+(oB/p) magnetoresistance.
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Transcribed Image Text:Corbino disk. A radial electric field is applied to a disk of inner radius a, outer radius b, and
thickness d. Consider the disk to be a slice of a long coaxial cable, so that the current through the
2πσί
disk is related to the voltage V between inner and outer radii by I
V (Griffiths Ex. 7.2).
In(bla)
Now a magnetic field B is imposed normal to the plane of the disk. Show that the current is
2nod
V
reduced to I=
where
is the charge density, an example of
In(b/a)1+(oB/p)²
magnetoresistance.
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