Find the magnetic vector potential of a finite segment of straight wire, carrying current a current I
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Find the magnetic vector potential of a finite segment of straight wire, carrying current a current I.
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- Biot-Savart’ s Law. 2. Line x = O, y = 0, 0 ¡ z ¡ 10 m carries current 2 A along az. Calculate H at points:(a) (5,5,0)(b) (5,15,0)(c) (5,-15,0)Diamagnets have the property that they "dampen" the effects of an external magnetic field by creating an opposing magnetic field. The diamagnet thus has an induced dipole moment that is anti- aligned, such that the induced north pole is closer to the north pole creating the external field. An application of this is that diamagnets can be levitated 2. Now, the mathematics of generally describing a force by a non-uniform field on a dipole is a little beyond the scope of this course, but we can still work through an approximation based on energy. Essentially, whenever the theoretical loss of gravitational potential energy from "falling" no longer can "pay the cost" of increasing the magnetic potential energy, the object no longer wants to fall. Suppose a diamagnetic object floats above the levitator where the magnitude of the magnetic field is 12 T, which is inducing" a magnetic dipole moment of 4.6 LA - m² in the object. The magnetic field 1.9 mm below the object is stronger with a…A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)] (a) Verify that A =Bxr is a vector potential for B, where r = (x, y, 0) (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. F B FIGURE 17 A = (8,0,4), B (8,5,0), C = (0,5,0), D = (0,0,4), F = (8,0,0) Flux(B) = -40b
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