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2010Spring_final

# 2010Spring_final - E(x,t = 60 π cos(310t 4x a y V/m The...

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EEL3470 Final Exam, 20 points for each problem, Apr. 29, 2010 Open Book, Open Notes Name__________________________ 1. Let potential V = 10x 2 in free space, Find (1) electric field E ; (2) volume charge density ρ v ; (3) energy density; (4) total energy within 1 <x, y, z< 1. 2. A line current I flows along y axis from A(0,-3,0) to B(0,4,0). I is 2 A. Find: (1) magnetic flux density B from Biot-Savart’s Law at point P(2,8,-7); (2) magnetic vector potential A at this point. 3. Conducting plates at z=5m and z=15m are held at potentials –10V and 10V, respectively. If the region between the plates is a homogeneous dielectric with ε = 2 ε 0 , solving the Laplace equation to find: (1) the potential distribution V(z) between two plates; (2) the capacitance per unit area between the plates. 4. The electric field of a uniform plane wave propagating in lossless isotropic medium is

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Unformatted text preview: E (x,t) = 60 π cos(310t + 4x) a y V/m. The magnetic field at point (0,0,0) when t = 0 is 1A/m. The unit of t is second and the unit of x is meter. Find: (1) the phase velocity v p ; (2) the wave impedance η of the media; (3) the relative dielectric constant ε r and relative permeability μ r; (4) the time domain expression for magnetic field; 5. The plane y = 2x separates two isotropic uniform materials. For y < 2x (region 1), ε r1 = 3; and for y > 2x (region 2), ε r2 = 5. Assume D 1 = 2 a x - 3 a y + 5 a z nC/m 2 in region 1; (1) Find the angle D 2 makes with D 1 ; (2) Find E 2 in region 2; Answer: 1 (1) (2) (3) (4) 2 (1) (2) 3 (1) (2) 4. (1) (2) (3) (4) 5 (1) (2) MatLab Program (Optional for partial credits)...
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2010Spring_final - E(x,t = 60 π cos(310t 4x a y V/m The...

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