1 Problem Self Inductance of a Solenoid with a Permanent-Magnet
Deduce the self inductance L of a solenoidal coil of N turns of radius r and length l ≫ r when its core is a cylinder with permanent-magnetization density M parallel to the solenoid axis. Consider a quasistatic current I(t) in the coil, and comment on the magnetic energy stored in the system, and the EMF across the coil.
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