Quick question regarding bound currents.

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    Bound Currents
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The sum of all bound currents in a material must always equal zero, as established in electromagnetic theory. This principle applies to configurations such as a cylinder exhibiting both bound volume current density and bound surface current density. The uniformity of the current flowing through the cylinder does not influence the total bound current, which is determined by the magnetization of the object. The behavior of bound currents is contingent upon specific problem parameters and configurations.

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vwishndaetr
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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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