Analytical calculation of the magnetic-dipole field in a radially expanding and differentially rotating conducting medium

Physics

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Electrodynamics, Magnetic Dipoles, Rotating Environments, Solar Wind, Angular Velocity, Earth Rotation, Electric Potential, Ohms Law, Radial Velocity, Space Plasmas

Scientific paper

An electrodynamic problem of the solar wind is considered in the case when a sphere of radius R0 with a constant conductivity sigma1 and a magnetic dipole source in the center rotates with an angular velocity Omega1 parallel to the magnetic axis. At R greater than R0, there is specified a constant radial velocity of the expansion of the medium with a variable conductivity sigma2 approximately equal to 1/R. The angular velocity of the medium in the region R greater than R0 is assumed in general to be not equal to zero and to decrease with distance R. Electromagnetic fields, currents, and certain surface characteristics are obtained in an analytical form in the case of Ohm's law in the simplest form (without the Hall current).

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