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The range of current density in the damper bars of an electrical machine (like those found in synchronous machines) typically varies depending on the design and application of the machine. Generally, the current density can range from about 5 to 10 A/mm^2. However, these values can be outside this range based on specific design requirements, the cooling method employed, and the expected operating conditions of the machine. Damper bars, which are integral to the rotor design of synchronous generators, play a crucial role in damping power system oscillations and providing stability during transient operations. Their design, including the choice of an appropriate current density, is critical for ensuring the reliable and efficient operation of the machine.