To weaken the strength of a standard magnet, one can use materials with high permeability, like soft iron, to shield one pole, which concentrates the magnetic field and makes the opposite pole seem weaker. Applying a covering to one pole can distort the magnetic field, but it won't create a significant difference in strength unless the material is adequately sized. Shielding materials can saturate, meaning they only work up to a certain magnetic intensity, beyond which they won't affect the field. For practical applications, using thin layers of soft iron can help reduce the field strength effectively. Overall, while it's challenging to weaken one pole significantly, strategic placement of ferrous materials can achieve the desired effect.