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Delve into the groundbreaking discoveries of Faraday and Henry on electromagnetic induction, induced current, and the laws governing this phenomenon. Understand the relationship between changing magnetic fields, induced EMF, and current flow. Discover the principles of Faraday’s Law and Lenz’s Law in this comprehensive guide.
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Electromagnetic Induction The Discoveries of Michael Faraday and Joseph Henry Showed That a Current Can Be Induced by a Changing Magnetic Field.
Faraday’s Law • An emf is set up in a closed electric circuit located in a magnetic field whenever the total magnetic flux linking the circuit is changing. • This is called electromagnetic induction. • Induced emf • Induced current
A Galvanometer and a B-Field • Induced current is related to the motion of the conductor in the magnetic field • The direction of the induced current is directly related to the direction of motion of the conductor in the magnetic field • Direction is dependent on the motion of the B-field or the conductor • The motion of the conductor is perpendicular to the B-field
More Thoughts… • If the conductor is moved parallel to B-field, the galvanometer will show no deflection, thus no induced emf or current. • If the conductor is looped several times, the deflection on the galvanometer will increase. • Thus, the rate of motion, the number of loops and the magnitude of the B-field vary directly with the magnitude of the induced current and emf.
Factors Affecting Emf • Emf induced in each coil of the conductor is proportional to rate of change of magnetic flux • Emf = - DF/Dt • Emf = -N(DF/Dt) • Note that negative sign indicates that induced emf is of such polarity as to oppose the change that induced it
Induced EMF • Induced current exists only if wire in a field is part of a circuit. • Thus, if F = BA then F = Bxl • So therefore, Emf = - DBxl/Dt • But x/t = v (velocity) • Therefore, Emf = Blv
Faraday’s Law The induced emf in a coil of N loops with a changing B – field within in equal to the rate of change of magnetic flux times the number of loops.
The net B-field thru a loop from a changing flux comes from two sources.
The original B – field. • The B – field caused by the original current…the induced B – field.
Induced B – Field This occurs because of the induced current. This can be used to determine the polarity of the induced emf.
Lenz’s Law The induced emf resulting from a changing magnetic flux has a polarity that leads to an induced current whose direction is such that the induced B – field opposes the original flux change.