The magnetic dipole moment m of any planar loop can be computed using equation 1.71. (Note, however, that the B field from equation 1.37 produced by m is valid only at distances “far” from the loop [White, 1998, Example 4.10].) Example 1.10 The object shown in Figure 1.3 is an ...
Magnetic momentDipole modeSolenoidal modeThe time-dependent Schrdinger equation is developed for a spinless electron which is confined to move on a toroidal surface and curvature effects are taken into account. The electron motion is driven by linearly or circularly polarized microwaves including an ...
The magnetic moment μ, of a magnetic dipole is defined by the equation (32.29)τ=μ×B where τ is the torque experienced by the dipole in a magnetic field B. The magnetic dipole moment of a current loop carrying a current I is identified as (32.32)μ=IA where A is the area determi...
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Magnetic dipole coupling between the colloidal superparamagnetic nanoparticles (SPNPs) depending on the concentration has been paid significant attention due to its critical role in characterizing the Specific Loss Power (SLP) in magnetic nanofluid hyperthermia (MNFH). However, despite immense efforts, th...
We use a point-dipole approximation to calculate the fields of the coils. Based on this method, we obtain closed-form and analytical expressions which would provide basic insights into the possibility of efficiency improvement with metasurface. In our analysis, we use the equivalent two sided ...
This allows us to study a simple pendulum with a magnetic dipole moment in the presence of a horizontal plate oscillating in vertical direction. Equilibrium of the pendulum in the vertical position can be realized in three cases considered, i.e., when the magnetic moment is parallel to the ...
A further matrix Ĥ relates the electric field E(r) and the magnetic field B(r) at an arbitrary point r in the radiation field of the antenna to the electric and magnetic dipole moments according to the following equation, in which c represents the velocity of light, the antenna is ...
Schematic illustration of motion of a magnetic dipole moment in a magnetic field. (8.2)T=m¯×B¯0=μ0m¯×H¯0=ds¯dt=−1γdm¯dt. As a result of the interaction of a magnetic dipole moment and the bias magnetic field, the equation of motion for the magnetic dipole ...
Equation (1.18) shows that when M is aligned with B→, the potential energy is lowest (most negative), but is highest when M→ and B→ are opposite to each other. The difference between the highest and lowest potential energies is 2|M||B|, where |·| designates magnitude. These ...