MSU PHY 184 - PHY184-Physics for Scientists & Engineers 2 (4 pages)

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PHY184-Physics for Scientists & Engineers 2



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PHY184-Physics for Scientists & Engineers 2

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Lecture Notes


Pages:
4
School:
Michigan State University
Course:
Phy 184 - Phys Scientists & Engineers II
Phys Scientists & Engineers II Documents

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Electromagnetic Waves This week we will study electromagnetic waves We will see that light is an electromagnetic wave Electromagnetic waves have electric and magnetic fields Physics for Scientists Engineers 2 We will see Maxwell s Equations that describe electromagnetic phenomena We will see that the speed of light is constant and can be related to 0 and 0 Spring Semester 2005 Lecture 31 We will see that electromagnetic waves can transport energy and momentum Electromagnetic waves can be polarized March 18 2005 Physics for Scientists Engineers 2 1 March 18 2005 Induced Magnetic Fields Physics for Scientists Engineers 2 2 Circular Capacitor We have seen that a changing magnetic field induces and electric field To illustrate induced magnetic fields consider the example of a circular parallel plate capacitor Faraday s Law of Induction tells us We charge the capacitor and disconnect the battery d E ds dt B In a similar manner a changing electric field induces a magnetic field Maxwell s Law of Induction tells us B ds 0 0 d E dt where B is the magnetic field induced in a closed loop by a changing magnetic field by a changing electric flux E in that loop March 18 2005 Physics for Scientists Engineers 2 3 The charge is constant and the electric field between the plates is constant There is no magnetic field March 18 2005 Physics for Scientists Engineers 2 4 Circular Capacitor 2 Circular Capacitor 3 Now let s consider a constant magnetic field Now let s increase the charge as a function of time Now let s increase the magnitude of the magnetic while keeping the magnetic field uniform in space and in the same direction An electric field is induced as shown by the red loops The magnitude of the electric field is constant along each loop and the direction is tangential to each loop A magnetic field is induced as indicated by the blue lines in the direction indicated Note that the induced electric field points in the opposite direction from the magnetic field induced by a



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