Strictly speaking, when the current in the ring is being established and it begins to create the induced magnetic field, the field of the ring itself changes the flux in the ring (and the first derivative of the flux). This is called self-induction. The most prominent example of self-induction is the dangerous sparking situation when people are working with electromagnets: Assume that you have a single solenoid (radius R=5cm, number of turns N=2000, length=1cm) that is connected to a battery supplying current I=50A. When you rip the battery out of the circuit, the current falls to zero rapidly – say within 5 milliseconds. Calculate the voltage induced in this solenoid because of the changing magnetic flux in this very same solenoid.

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Strictly speaking, when the current in the ring is being established and it begins to create the induced magnetic field, the field of the ring itself changes the flux in the ring (and the first derivative of the flux). This is called self-induction.
The most prominent example of self-induction is the dangerous sparking situation when people are working with electromagnets: Assume that you have a single solenoid (radius R=5cm, number of turns N=2000, length=1cm) that is connected to a battery supplying current I=50A. When you rip the battery out of the circuit, the current falls to zero rapidly – say within 5 milliseconds. Calculate the voltage induced in this solenoid because of the changing magnetic flux in this very same solenoid.

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