Dielectric slab in a parallel-plate condenser

Utreras-Díaz, Constantino A.

doi:10.1119/1.15504

Cited by 13 publications

(14 citation statements)

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“…The force densities "Equations (57) and (59)" look very different from the force densities "Equations (5), (8) and 9", but now it is evident their relation to Helmholtz's force densities. Let us see how they are related.…”

Section: Force Densities For Static Fields and Their Equivalencementioning

confidence: 87%

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Electrostatic and Magnetostatic Forces That Arise from Electrostatic and Magnetostatic Pressures

Jiménez-Ramírez¹,

Campos-Flores²,

Roa-Neri³

2019

JEMAA

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With the insight provided by a balance equation of electromagnetic momentum, we compare the force on a dielectric slab inside a capacitor with the force on a magnetizable rod inside a solenoid. We conclude that these forces are not exactly analogous, as usually thought. We present a device that is a proper analogy of the case of a dielectric slab inside a capacitor. Our analysis shows the significance of the electrostatic and magnetostatic pressures to the understanding of these effects and shows the conceptual differences between both cases.

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Section: Force Densities For Static Fields and Their Equivalencementioning

confidence: 87%

“…Force densities like "Equations (5), (8) and 9 where subscripts in the right-hand members indicate the force densities for the electrostatic and magnetostatic cases.…”

Section: Force Densities For Static Fields and Their Equivalencementioning

confidence: 99%

Electrostatic and Magnetostatic Forces That Arise from Electrostatic and Magnetostatic Pressures

Jiménez-Ramírez¹,

Campos-Flores²,

Roa-Neri³

2019

JEMAA

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“…The origin of force on partially inserted dielectric slab is nonuniform electric (fringing) field . This force originates from interaction between free charges on capacitor plates and the polarization charge on the dielectric surface . These mechanical forces can be driven by human or/and machine motion, eg, motor or slow‐moving piston of a stirling engine.…”

Section: Introductionmentioning

confidence: 99%

“…[23][24][25] This force originates from interaction between free charges on capacitor plates and the polarization charge on the dielectric surface. 26 These mechanical forces can be driven by human or/and machine motion, eg, motor or slowmoving piston of a stirling engine. Interestingly, human muscle power is one potential source of energy that can be used to operate such generators.…”

Section: Introductionmentioning

confidence: 99%

Electric power generation using a parallel‐plate capacitor

2019

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Summary In this study, we propose an efficient design for a portable energy generator using a parallel‐plate capacitor. Analytical calculations show that if charge (Q) is kept constant and dielectric subsequently removed from the capacitor, then electrostatic energy increases by a factor of εr (permittivity). Initially, a priming charge must be loaded onto the capacitors that are subsequently disconnected from the voltage source. A significant mechanical nonlinear force is needed to remove the dielectric slab. In the proposed configuration, dielectric constitutes the rotor of generator and is located between two pairs of conducting disks, which constitute the stator. The rotor is divided into four dielectric sectors at 60° spacing whereas the stator is divided into six conducting sectors at 30° spacing. In each cycle, two dielectric slabs go inside the capacitor and two other come outside. This specific geometrical arrangement diminishes the extent of mechanical forces and helps to enhance the efficiency of generator significantly. Additionally, this work also relates to generating large amplitude of voltage that can be used as a high voltage source.

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“…" is unfamiliar, but it solves the problem of the Journal of Electromagnetic Analysis and Applications force on a dielectric inside a uniform electrostatic field. However, it was obtained just applying a dyadic identity to the gradient of the energy density "Equation(6)". In what follows we consider this force density in the context of a balance equation for electromagnetic momentum obtained from the Maxwell equations.We have that the Maxwell equations can be written in its most usual form as following balance equation can be obtained using vector and tensor identities[15] [16],…”

mentioning

confidence: 99%

How Does Arise the Force on a Dielectric Slab in a Parallel Plate Capacitor?

Campos-Flores¹,

Jiménez-Ramírez²,

Roa-Neri³

2018

JEMAA

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We address the problem of the force exerted on a dielectric slab partially introduced into a charged parallel plate capacitor. This elementary problem is usually solved calculating this force as the gradient of an energy and attributing its origin to the action of the fringing field outside the capacitor on the dipoles of the dielectric slab. By applying Maxwell's theory of electromagnetic stresses, we show that this force acts at the interface dielectric-vacuum and originates from the action of these stresses. This approach permits to obtain the force as a volume integration of a force density, or as a surface integral of a stress tensor. This force density and the stress tensor are part of a momentum balance equation derived from Maxwell's equations.

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Dielectric slab in a parallel-plate condenser

Cited by 13 publications

References 0 publications

Electrostatic and Magnetostatic Forces That Arise from Electrostatic and Magnetostatic Pressures

Electrostatic and Magnetostatic Forces That Arise from Electrostatic and Magnetostatic Pressures

Electric power generation using a parallel‐plate capacitor

How Does Arise the Force on a Dielectric Slab in a Parallel Plate Capacitor?

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