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Your question is confusing, as you do not explain what you mean by 'isolate'. If you mean 'allow the core to retain some magnetism', then this will always be the case when the current through the coil is reduced to zero. In order to remove this 'residual magnetism', you will need to reverse the direction of current through the coil. This is a feature of what is known as 'hysteresis', by which changes in the flux density of a core 'lags behind' changes to the magnetic field strength that creates it.

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Q: How do you isolate magnetism remaining in the core of a electromagnet after the coil current is removed?
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