TABLE OF CONTENTS Faraday's Law of Induced EMF/Lenz's Law/Displacement Current/Point and Integral Forms of Maxwell's Equations/Phasor Notation/The Poynting Vector and Radiated Power/Derivation of Wave Equations and Diffusion Equations/Special Solutions in Conductors; Definitions of Skin Depth and Internal Impedance
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| 4.1 According to Faraday's law of electromagnetic induction, a time-varying magnetic flux ? m penetrating a loop induces an electromotive force (emf) commonly notated ? or v in the loop, such that
Express (1) in integral form, in terms of E- and B-fields. |
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| 4.2 Express Faraday's law in a point form. |
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| 4.3 The induced emf in the closed loop C of Problem 4.1 will cause a current in the loop. According to Lenz's law, the direction of the current is such that the resulting magnetic field opposes the change in the original magnetic field. Apply Lenz's law to determine polarities of terminals a and b in the loop of Fig. 4-1.  Figure 4-1 |
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| 4.4 Repeat Problem 4.3 assuming that the external field is increasing. |
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| 4.5 In cylindrical coordinates, find the E-field induced by the flux density  |
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| 4.6 Show that another point form of Faraday's law is
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| 4.7 A circular loop of 10-cm radius is located in the xy plane in a B-field given by B = (0.5 cos 377 t)(3 a y + 4 a z) ( T). Determine... |
