Electromagnetic Theory Research Papers - Academia.edu (original) (raw)
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Made by Zaeem Ahmad Varaich Please inform if you find any error in any solution! E E 0 8. S O L U T I O N S DRILL PROBLEMS : CHAPTER 2 D2.1 (a) R AB = (5+6) a x + (8-4) a y + (-2-7) a z = 11a x + 4a y-9a z (b) R AB = 11 2 + 4 2 + 9 2 =... more
Made by Zaeem Ahmad Varaich Please inform if you find any error in any solution! E E 0 8. S O L U T I O N S DRILL PROBLEMS : CHAPTER 2 D2.1 (a) R AB = (5+6) a x + (8-4) a y + (-2-7) a z = 11a x + 4a y-9a z (b) R AB = 11 2 + 4 2 + 9 2 = 14.76 m (c) F BA = −20 × 10 −6 50 × 10 −6 4 10 −9 36 (14.76 2) = −0.0413 (−11 − 4 + 9) 14.76 = 30.78 + 11.195 − 25.18 mN (d) F BA = −20 × 10 −6 50 × 10 −6 4 ×8.854×10 −12 (14.76 2) = −0.04125 (−11 − 4 + 9) 14.76 = 30.74 + 11.18 − 25.15 mN D2.2 (a) − = −25 + 30 − 15 , | − | = 41.43 − = 10 − 8 − 12 , | − | = 17.54 = −1.57 (−25 +30 −15) 41.43 = 9480 − 11300 + 5600 = 14.61 (10 −8 −12) 17.54 = 83300 − 66600 − 99900 = + = 92.48 − 77.9 − 94.3 (b) − = −10 + 50 + 35 , | − | = 61.84 − = 25 + 12 + 38 , | − | = 47.04 = −7050 (−10 +50 +35) 61.84 = 1140 − 5700 − 3990 = 20300 (25 +12 +38) 47.04 = 10700 + 5180 + 16400 = + = 11.84 − 0.52 + 12.41 D2.3 (a) Sum = 2 + 0 + 2 5 + 0 + 2 17 + 0 = 2.517 (b) Sum = 1.1
Calculations of resultant electrostatic force on a charged spherical or cylindrical capacitor with two sectors of different dielectrics, based on the classical formulas of electrostatic pressure, Kelvin polarization force density, and... more
Calculations of resultant electrostatic force on a charged spherical or cylindrical capacitor with two sectors of different dielectrics, based on the classical formulas of electrostatic pressure, Kelvin polarization force density, and Maxwell stress tensor predict a reactionless force that violates Newton’s 3rd law. Measurements didn’t confirm the existence of such a reactionless thrust, thus there is an apparent inconsistency in the classical EM theory that leads to wrong results.
Fundamentals of Electrostatics
- by Hans Moosmüller and +2
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- Engineering, Light Scattering, Environmental Sciences, Solar Energy
Different electromagnetic theories have been applied in order to understand the interaction of the electromagnetic radiation with diffraction gratings. Kogelnik's Coupled Wave Theory, for instance, has been applied with success to... more
Different electromagnetic theories have been applied in order to understand the interaction of the electromagnetic radiation with diffraction gratings. Kogelnik's Coupled Wave Theory, for instance, has been applied with success to describe the diffraction properties of sinusoidal volume gratings. Nonetheless the predictions of Kogelnik's theory deviate from the actual behaviour whenever the hologram is thin or the refractive index is high. In these cases, it is necessary to use a more general Coupled Wave Theory (CW) or the Rigorous Coupled Wave Theory (RCW). Both of these theories allow for more than two orders propagating inside the hologram. On the other hand, there are some methods that have been used long in different physical situations, but with relatively low application in the field of holography. This is the case of the finite difference in the temporal domain (FDTD) method to solve Maxwell equations. In this work we present an implementation of this method applied to volume holographic diffraction gratings.
- by Ebrahim Forati and +1
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- Antennas, Electromagnetic Theory, Oscillations, Mathematical Model
The formation of a magmatic intrusion at depth is responsible for the formation of various thermohydromechanical (THM) disturbances including the upsurge of shock waves and diffusion of pressure fronts in the volcanic system. We couple... more
The formation of a magmatic intrusion at depth is responsible for the formation of various thermohydromechanical (THM) disturbances including the upsurge of shock waves and diffusion of pressure fronts in the volcanic system. We couple electromagnetic theory (Maxwell equations) and thermoporoelasticity (Biot equations) to look at the ground surface electrical signature of these THM disturbances. The nature of this coupling is electrokinetic, i.e., associated with water flow relative to the mineral framework and the drag of the excess of charge located in the vicinity of the pore water/mineral interface (the groundwater flow disturbance being related here to the THM disturbances in drained conditions). A new set of laboratory data shows that the electrokinetic coupling is very substantial in fractured basaltic and volcaniclastic materials, and in scoria with several hundreds of millivolts of electrical potential gradient produced per megapascal of pore fluid pressure variations. Our theoretical analysis predicts the diffusion of electromagnetic disturbances and quasi-static electrical signals. These signals can be used as precursors of a volcanic eruption. Indeed, electromagnetic phenomena recorded at the ground surface of a volcanic system, once properly filtered to remove external contributions, provide a direct and quasi-instantaneous insight into the THM disturbances occurring in the heart of the volcanic structure prior and during a volcanic event. Tomography of the quasi-static electrical field is discussed and applied to self-potential profiles performed at the Piton de la Fournaise volcano during the preparation phase of the March 1998 eruption.
In this work the phenomenon of charge confinement is approached in various contexts. An universal criterium for the identification of this phenomenon is suggested: the so-called spontaneous breaking of the brane symmetry. This local... more
In this work the phenomenon of charge confinement is approached in various contexts. An universal criterium for the identification of this phenomenon is suggested: the so-called spontaneous breaking of the brane symmetry. This local symmetry has its most common incarnation in the Dirac string ambiguity present in the electromagnetic theory with monopoles. The spontaneous breaking of the brane symmetry means