A 12 H inductor carries a steady current of 2.0 A. How can a 60 V self-induced emf be made to

step 1 Hi in the given problem inductance of the inductor is given as l is equal to 12 Henry current ca

A 12 H inductor carries a steady current of 2.0 A. How can...

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Key Concepts

Self-Induced EMF

Self-induced electromotive force (emf) is the voltage that is generated in an inductor when the current flowing through it changes. According to Faraday's law of electromagnetic induction, a changing current produces a changing magnetic flux, which in turn induces an emf that opposes the change in current, following Lenz's law.

Inductance

Inductance is a property of an electrical circuit component that causes it to oppose changes in current flowing through it. This opposition is due to the magnetic field created by the current, and the energy stored in that field depends on the inductance value of the component.

Rate of Change of Current

The rate of change of current (dI/dt) is a key factor in determining the magnitude of the self-induced emf in an inductor. The faster the current changes, the greater the induced emf. The relationship is given by the formula emf = -L(dI/dt), meaning that the induced voltage is directly proportional to how quickly the current is increasing or decreasing.

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