Quick question regarding bound currents.

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The sum of all bound currents does not always equal zero, particularly in cases involving both bound volume and surface current densities. In a cylinder, the uniformity of the current does not affect the total bound current. The magnetization of an object can be modeled as a system of bound currents, which may lead to a non-zero summation depending on specific parameters. The behavior of bound currents is problem-dependent and varies with the material and configuration. Understanding these nuances is crucial for accurate analysis in electromagnetism.
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My question:

Should the sum of all bound currents always be zero?

For example, should the bound currents of a cylinder with both bound volume current density and bound surface current density always sum up to zero?

Does the uniformity of current ran through the cylinder have any effect on total bound current?
 
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No. The magnetization of an object can be represented as a system of bound currents which would have to be non-zero across their summation for this to work. This obviously varies depending upon the problem and its parameters.
 
Perfect. Thanks.
 
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