A.C. cable with stranded electrical conductors

An alternating current cable, comprising:

• at least one cable core, the at least one cable core including:
• a central carrier body;
• and
• at least three conductor layers, each conductor layer including a plurality of electric conductors which are arranged in a filament-like manner around the central carrier body at a predetermined wire angle,
• wherein the at least three conductor layers conduct an alternating current in one direction,
• wherein, the predetermined wire angles of the electric conductors in the conductor layers are selected so that the predetermined wire angles change stepwise between a first value of an innermost conductor layer of the at least three conductor layers and a second value of an outermost conductor layer of the at least three conductor layers, and
• wherein, the following relationships are substantially satisfied:
• ##EQU3## wherein ##EQU4## and wherein l.sub.j is a lay length of the electric conductors in a corresponding conductor layer of the at least three conductor layers,
• .alpha..sub.j is the predetermined wire angle of the electric conductors in the corresponding conductor layer of the at least three conductor layers,
• H.sub.z is an axial field inside the at least one cable core,
• J is a current density in each conductor layer of the at least three conductor layers,
• R is a mean radius of a combination of all conductor layers of the at least three conductor layers,
• .DELTA.R is a difference between the mean radii of adjacent conductor layers of the at least three conductor layers, and
• N is a number of conductor layers of the at least three conductor layers.