# Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

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happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com

Ch 29 Electromagnetic Induction © 2005 Pearson Education

29.1 Induction Experiments © 2005 Pearson Education

29.2 Faraday’s Law Faraday’s law of induction: The induced emf in a closed loop equals the negative of the time rate of change of magnetic flux through the loop © 2005 Pearson Education

Direction of induced EMF

29.3 Lenz’s Law Lenz ’ s Law: The direction of any magnitude induction effect is such as to oppose the cause of the effect. © 2005 Pearson Education

Example 29.9 Use Lenz’s law to determine the direction of the induced current. Use Lenz’s law to determine the direction of the induced current. © 2005 Pearson Education

29.4 Motional Electromotive Force motional emf; length and velocity perpendicular to uniform motional emf: closed conducting loop © 2005 Pearson Education

29.5 Induced Electric Fields © 2005 Pearson Education

29.6 Eddy Currents © 2005 Pearson Education

29.7 Displacement Current and Maxwell’s Equations © 2005 Pearson Education

displacement current

Maxwell ’ s Equation

29.8 Superconductivity © 2005 Pearson Education

Faraday’s law states that the induced emf in a closed loop equals the negative of the time rate of change of magnetic flux through the loop. This relation is valid whether the flux change is caused by a changing magnetic field, motion of the loop, or both. (See Examples 29.1 through 29.7)

Lenz’s law states that an induced current or emf always tends to oppose or cancel out the change that caused it. Lenz’s law can be derived from Faraday’s law, and is often easier to use. (See Examples 29.8 and 29.9) © 2005 Pearson Education

If a conductor moves in a magnetic field, a motional emf is induced. (See Examples 29.10 and 29.11) © 2005 Pearson Education

When an emf is induced by a changing magnetic flux through a stationary conductor, there is an induced electric field of nonelectrostatic origin. This field is nonconservative and cannot be associated with a potential. (See Example 29.12)

© 2005 Pearson Education When a bulk piece of conducting material. Such as a metal, is in a changing magnetic field or moves through a field, currents called eddy currents are induced in the volume of the material.

© 2005 Pearson Education A time-varying electric field generates a displacement current i D, which acts as a source of magnetic field in exactly the same way as conduction current.

The relationships between electric and magnetic fields and their sources can be stated compactly in four equations, called Maxwell’s equations. Together they form a complete basis for the relation of and fields to their sources. © 2005 Pearson Education

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