EBK ELECTRIC CIRCUITS
EBK ELECTRIC CIRCUITS
10th Edition
ISBN: 8220100801792
Author: Riedel
Publisher: YUZU
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Chapter 16, Problem 48P

a.

To determine

Calculate the rms value of the given periodic voltage.

b.

To determine

Calculate the rms value of voltage vg using complex coefficients.

c.

To determine

Calculate the percentage of error in the estimated rms value of voltage vg.

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A plane wave propagating in the +z direction in medium 1 is normally incident to medium 2 located at the z=0 plane as below. Both mediums are general, characterized by ( ε i, Mi, Ơi ). tot = [ ει μη σ] [ε, μη σε ] Ex Ex tot E₁₂ (z) = Ee Ex z=0 From conservation of energy: P₁AV'(z=0) + Piav'(z=0) = P2av²(z=0). Using the above show for lossless media that: ( 1 - ||²) = (1/M2 )|T|² .
A plane wave propagating in the +z direction in medium 1 is normally incident to medium 2 located at the z=0 plane as below. Both mediums are general, characterized by ( ε i, Hi, σ¡ ). [ ει μη σ] Ex [ ει μη ση ] Ex tot E₁₂ (z) = E'₁e¹² -122 E(z) = Ee+ E₁₁₁² E₁x z=0 1. Specify the electric field reflection coefficient г and transmission coefficient T: E ΓΔ E E TA EL 2. Show that T=1+г. Can the transmitted electric field amplitude in region 2 be LARGER than the incident electric field amplitude? 3. Determine expressions for P₁AV'(z), PIAV'(z) and P2AV'(z) (note the sign for the reflected power direction should be (-z).

Chapter 16 Solutions

EBK ELECTRIC CIRCUITS

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