Electric and magnetic fields of two infinitely long parallel cylindrical conductors carrying a DC current

Engelen, Kristof; Jacqmaer, Pieter; Driesen, Johan

doi:10.1051/epjap/2013120441

Cited by 5 publications

(5 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A similar solution for this problem has been found recently by Engelen et al [10]. They solve essentially the same problem using bi-cylinder coordinates (which they call bipolar coordinates).…”

Section: Introductionsupporting

confidence: 53%

See 1 more Smart Citation

The electric field and surface charges far and close to the battery for the transmission line

Hernandes

Nogueira

2016

Eur. J. Phys.

View full text Add to dashboard Cite

We consider two long resistive straight parallel wires carrying opposite constant currents and calculate the potential and electric field everywhere in space and the surface charge densities along the wires. The problem is solved through Laplace’s equation in bi-cylinder coordinates, far from the battery. We compare these calculations with previous known results that used different methods. We also calculate the numerical solution for the case in which the battery is present, and show the equipotentials and surface charges close to the battery.

show abstract

Section: Introductionsupporting

confidence: 53%

“…The similar solution presented by Engelen et al [10] lack the dependency on z for the potential, electric field and surface charges, rendering essentially an electrostatics problem. They were probably unaware of Russel's theorem [11].…”

Section: Discussionmentioning

confidence: 95%

The electric field and surface charges far and close to the battery for the transmission line

Hernandes

Nogueira

2016

Eur. J. Phys.

View full text Add to dashboard Cite

show abstract

“…However, at the present conditions (effective gap distance, d * ≈d+2Δ/ε 1 =1.8 mm, much smaller compared to the cylinder diameter of 9.6 mm), this effect on the field on the axis of symmetry is small. This has been verified by comparing the electric field halfway between two metal cylinders (without dielectrics) calculated for the same cylinders diameter and effective gap, (a) from the superposition principle and (b) from exact solution of the Laplace equation [23]. The difference between the two results is approximately 2%.…”

Section: Discharge In Air Between Two Cylinder Electrodesmentioning

confidence: 67%

Electric field measurements in nanosecond pulse discharges in air over liquid water surface

Simeni

Baratte

Zhang

et al. 2018

Plasma Sources Sci. Technol.

View full text Add to dashboard Cite

Electric field in nanosecond pulse discharges in ambient air is measured by picosecond four-wave mixing, with absolute calibration by a known electrostatic field. The measurements are done in two geometries, (a) the discharge between two parallel cylinder electrodes placed inside quartz tubes, and (b) the discharge between a razor edge electrode and distilled water surface. In the first case, breakdown field exceeds DC breakdown threshold by approximately a factor of four, 140±10 kV cm −1 . In the second case, electric field is measured for both positive and negative pulse polarities, with pulse durations of ∼10 ns and ∼100 ns, respectively. In the short duration, positive polarity pulse, breakdown occurs at 85 kV cm −1 , after which the electric field decreases over several ns due to charge separation in the plasma, with no field reversal detected when the applied voltage is reduced. In a long duration, negative polarity pulse, breakdown occurs at a lower electric field, 30 kV cm −1 , after which the field decays over several tens of ns and reverses direction when the applied voltage is reduced at the end of the pulse. For both pulse polarities, electric field after the pulse decays on a microsecond time scale, due to residual surface charge neutralization by transport of opposite polarity charges from the plasma. Measurements 1 mm away from the discharge center plane, ∼100 μm from the water surface, show that during the voltage rise, horizontal field component (E x ) lags in time behind the vertical component (E y ). After breakdown, E y is reduced to near zero and reverses direction. Further away from the water surface (≈0.9 mm), E x is much higher compared to E y during the entire voltage pulse. The results provide insight into air plasma kinetics and charge transport processes near plasma-liquid interface, over a wide range of time scales.

show abstract

“…The maximum value of error percentage in one fundamental spatial period in the electric potential between two cylindrical conductors, like [32] or two-wire transmission line [33], gelen2013} anidis2014}…”

Section: Numerical Verification Of the Analytical Solutionmentioning

confidence: 99%

Electrostatic force distribution on an electrodynamic screen

Sayyah

Horenstein

Mazumder

et al. 2016

Journal of Electrostatics

View full text Add to dashboard Cite

The enormous potential of the solar energy harvesting plants for providing clean energy is severely limited by dust accumulation on their optical surfaces. In lieu of the most commonly-practiced manual cleaning method of using high-pressure water jets, the electrodynamic screen (EDS) technology offers an attractive solution for removing dust particles from optical surfaces using electrostatic forces. In this paper, the impacts of different EDS design parameters in the electric field distribution on an EDS have been studied. Furthermore, based on electric field expressions, closed-form solutions for multipolar dielectrophoretic (DEP) forces in the EDS application are provided. Detailed evaluation of the EDS performance necessitates investigation of different forces involved in dust removal process. We have provided different comparisons between repelling and attracting forces exerted on dust particles in the dust removal process. Comparison results elucidate how EDS performs in removing a given size range of dust particles. The significant detrimental impact of relative humidity in the EDS performance has been quantitatively addressed. It is shown how just 10% increase in relative humidity can make the repelling force ineffective in dust removal process.

show abstract

Electric and magnetic fields of two infinitely long parallel cylindrical conductors carrying a DC current

Cited by 5 publications

References 1 publication

The electric field and surface charges far and close to the battery for the transmission line

The electric field and surface charges far and close to the battery for the transmission line

Electric field measurements in nanosecond pulse discharges in air over liquid water surface

Electrostatic force distribution on an electrodynamic screen

Contact Info

Product

Resources

About