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Magnetized planet magnetospheres are formed by the planetary intrinsic magnetic field and fields of the large-scale current systems. Here we consider the following planets of the solar system: Mercury, Earth, Jupiter, and Saturn. The main permanently existing current systems for Mercury and Earth are the magnetopause currents and the tail currents. Terrestrial magnetosphere possesses also a ring current and field-aligned currents. The giant planets (Jupiter, and Saturn) have very strong own magnetic fields, magnetopause and tail currents, field-aligned currents, and additionally magnetodiscs (in a case of Saturn it is called a ring current). Magnetodisc is formed due to a rapid planetary rotation, large magnetic field, and a presence of the inter-magnetospheric plasma sources. For Jupiter, the additional plasma originates by Io, for Saturn, by Enceladus. Magnetodics are examples of astrophysical discs in a strong magnetic field. We have shown that the inner edges of such discs are located at the distances from the central body close to the Alfven radii regardless of the nature of their origin, material, and motion direction. This concerns to the Jovian and Kronian discs also. Magnetopause currents include current carried by the solar wind charged particles and current created by the magnetospheric plasma. We have shown that magnetic field can be amplified in the thin transition layer just outside the magnetopause of a rapidly rotating magnetized planet (Jupiter). The same mechanism can act in the outer heliosheath just outside the heliopause.