Faraday’s law indicates that the induced emf and the change in flux have opposite algebraic signs. Does this mean that the direction of induced magnetic field is always opposite to original magnetic field direction? Why yes or why not?
Faraday's law states that the induced emf is proportional to the change in flux linkage and the emf induced will oppose the change. Hence, when flux linkage increases, emf will be induced such that the flux linkage is reduced and if flux linkage decreases, emf will be induced such that flux linkage is increased.
To increase the flux linkage, induced magnetic field will be in the same direction of original magnetic field and to decrease the flux linkage, induced magnetic field will be opposite to the direction of original magnetic field. Therefore, induced magnetic field is not always opposite to the original magnetic field, but it depends on the direction of change in flux linkage.
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