IS it possible to have total bound current NOT equal to 0?

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Total bound current can be non-zero in a system with permanent magnetization, such as a cylindrical shell with inner radius a and outer radius b. The magnetization, represented as \vec{M}=(ks)\hat{z}, leads to a surface current that circulates around the cylinder. This occurs when the magnetization aligns with the cylinder's long axis, resulting in a defined current density. The discussion highlights the relationship between magnetization and bound current, emphasizing that the configuration can indeed yield a non-zero total bound current. Understanding this phenomenon is crucial for applications in magnetic materials and devices.
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I have a permanent magnetization \vec{M}=(ks)\hat{z}, k is just a const, s is the cylindrical coor. Then it turns out that the total bound current not equal to 0. i wonder is it possible? the magnetization is stored inside the shell of a cylinder of inner radius a and outer radius b.
thanks in advance!
 
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What do you mean by total current? If the magnetization points in the direction of long axis of the cylinder, there is a surface current circling around the cylinder.
 
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