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Unformatted text preview: ELEG 320 ELECTROMAGNETIC FIELD THEORY I HOMEWORK #3 – DUE SEPTEMBER 30, 2010 1. Derive the tangential and normal boundary conditions for both the electric and magnetic fields. Provide an explanation of the physical significance of each condition. 2. Derive the wave equation. 3. Find the relaxation time constant for copper ( σ = 5.76 x 10 7 S/m, ε = ε ) and glass ( σ = 10-12 S/m, ε =6 ε ). Explain the disparity in the time values calculated above. 4. The static dielectric constant of water is 81. Assuming that the electric field density applied to water is 1V/m, calculate the magnitude of the electric flux density and the electric polarization vector within the water. 5. A semicircle loop of wire of radius s is positioned in the xy-plane (as shown below) and orthogonal to a non-uniform magnetic field g G = ¡ ¢ £¤¥¦§ ¨© ª «¬ ª u . Solve for the induced EMF around the wire....
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