Coil radius

What is the equation for the charge to mass ratio (e/m) in terms of the voltage (V), current (/), constant (k), electron travel radius (r), coil radius (R), and number of coil turns (/V) Use this equation and the fact that the e/m ratio will be a constant to answer questions 2-4. 

In contrast to our MSB technique, Kakugawa et al. formulated the cost function to be minimized as a product of coil cross sectional area and its current density. The result is an optimal coil configuration for the coil cross sectional area and coil current density. However, it is not clear that the superconducting volume is also minimized when cross sectional area is reduced, as individual coil volumes are a fimction of the coil radius, which was not considered. 

Other examples can be discussed in the same way. We note that all these results follow from simple dimensional analysis in terms of coil radius Rg, chain concentration cp, and (if present) momentum variables. The method is based on the assumptions that... 

Scaling theory also derives such results in another, more intuitive way, based on some heuristic picture of the internal structure of the polymer solution. Consider some piece of length nB within a chain of length n. It is natural to assume that this piece forms a subcoil, a blob1, of typical extension R, which scales like the coil radius for a polymer molecule of segments Rb nB- Thus the local density of segments due to the blob is estimated as... 

Fig. 1.8 Concentration dependence of coil radius for PS in d-toluene. Line, least-squares fit to the sample pairs for x = 0.50 and 0.0. Here, n is the mole fraction of styrene residues, and x the mole fraction of d-styrene in a mixture of h- and d- styrenes. (From ref. [45])...

Depletion. Without adsorption the chain receives no compensation for the configurational degrees of freedom lost in approaching the surface. Hence, the center of mass generally remains a coil radius away from the surface, and the segment density at the surface falls below that in the bulk solution (Fig. lc). 

Dissolved, nonadsorbing polymer molecules must sacrifice configurational degrees of freedom to approach to surface closer than about one coil radius, an energetically unfavorable process in dilute solutions. Indeed, experiments confirm that a layer of thickness L [Pg.205]

Coiled Tubes For turbulent flow inside helical coils, with tube inside radius a and coil radius R, the Nusselt number for a straight tube Nu is related to that for a coiled tube Nuc by (Rohsenow, Hartnett, and... 

The sensitive volume, which can be investigated by a circular surface coil in a homogeneous polarizing field, is approximately given by a half sphere with the coil radius. As the coil radius is typically small compared to the largest dimension of the object, the use of surface-coil techniques is restricted to volume elements near the sample surface. 

Fig. 9.2.1). The axes are labelled in units of the coil radius. The magnetic field intensity is normalized to 100 in the centre of the coil, (a) Contour lines of constant Buy. in the xy plane at z = 0. (b) Contour lines of constant B yy in the yz plane at x =0.

Fig. 9.2.5 [Bosl] Comparison of signal amplitudes for volume elements placed along the y-axis and different repetition times Tr. The y-axis which starts in the centre of a single-turn circular surface coil and points into the sample. The axes are labelled in units of the coil radius. The curves are normalized relative to an amplitude of 100 at y = 0 for the response to a single pulse applied to the sample in thermal equilibrium. For reference the axial space dependence of Buy is also given.

Fig. 9.2.6 [Bosl] Theoretical signal amplitudes from a single-tum circular surface coil used for excitation and detection. The flip angle is scaled to 180° at the coil centre. The j-axis denotes depth into the sample. It is scaled in units of the coil radius. For a single pulse the signal is proportional to sin 0 (y), and for the simple DEPTH pulse it is proportional to Buy sin a(3>).

Here / is the current r is the coil radius 2 is the distance from middle of the coil to the measuring ring 2 0 is the distance from the coil middle to the center of the ring with thickness d2 o n = (A + iy), X =... 

V = ri/ai is the coil radius expressed in units of the borehole radius ... 

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