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Electrostatic Field in free Space
Published in Branislav M. Notaroš, Conceptual Electromagnetics, 2017
The electric scalar potential is a scalar quantity that can be used instead of the electric field intensity vector for the description of the electrostatic field. The potential, V, at a point P in an electric field is defined as the work We done by the field, that is, by the electric force, Fe, in moving a test point charge, Qp, from P to a reference point ℛ (Figure 1.10), We=∫PℛFe⋅dl=∫PℛFedlcosα
Resonances, Euler’s Figures, and Particle-Waves
Published in Shamil U. Galiev, Evolution of Extreme Waves and Resonances, 2020
V is the scalar potential (2.10). Let V=−CΦ−12m1Φ2−13m2Φ3+14λΦ4,
The Electromagnetic Phenomena as Incitants
Published in William J. Rea, Kalpana D. Patel, Air Pollution and the Electromagnetic Phenomena as Incitants, 2018
William J. Rea, Kalpana D. Patel
The term magnetic potential can be used for either of two quantities in classical electromagnetism: the magnetic vector potential, (A, the vector potential) and the magnetic scalar potential (Ψ) Both quantities can be used in certain circumstances to calculate the magnetic field. The magnetic field is measured by any flow current, the tesla. Magnetic fields as low as one microtesla (a millionth of a tesla) can produce biological effects.4
Cherenkov radiation due to runaway electron resonance with warm electrostatic waves
Published in Waves in Random and Complex Media, 2021
Maryam Sharifi, Mehdi Nasri Nasrabadi
In the case of electrostatic modes, for which the magnetic perturbation is assumed to be negligible, the electric field is curl-free and description in terms of the scalar potential, , will suffice. So, in space Equation (1) can be written as The scalar potential, ϕ, is the solution of the linear Equation (2) which will subsequently determine the electric field.