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2. An electric field (z,t) = 3 cos(@t-kz)x+8 sin(@ot-kz)ŷ where k = a√√μ exists in free space. (a) Find its phasor notation Ē(z). (b) Find the associated magnetic field (z,t) from E(z,t) using the source- free time-dependent Maxwell's equation. (c) Find A(z) from E(z) by the time-harmonic Maxwell's equation. Convert it to (z,t). Does it agree with (b)?

2. An electric field (z,t) = 3 cos(@t-kz)x+8 sin(@ot-kz)ŷ where k = a√√μ exists in free space. (a) Find its phasor notation Ē(z). (b) Find the associated magnetic field (z,t) from E(z,t) using the source- free time-dependent Maxwell's equation. (c) Find A(z) from E(z) by the time-harmonic Maxwell's equation. Convert it to (z,t). Does it agree with (b)?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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@0 2. An electric field (z,t) = 3 cos(@t-kz)+8 sin(ot-kz)ŷ where k = a√√μ exists in free space. (a) Find its phasor notation Ē(z). (b) Find the associated magnetic field (z,t) from E(z,t) using the source- free time-dependent Maxwell's equation. (c) Find A(z) from Ē(z) by the time-harmonic Maxwell's equation. Convert it to (z,t). Does it agree with (b)?
Transcribed Image Text:@0 2. An electric field (z,t) = 3 cos(@t-kz)+8 sin(ot-kz)ŷ where k = a√√μ exists in free space. (a) Find its phasor notation Ē(z). (b) Find the associated magnetic field (z,t) from E(z,t) using the source- free time-dependent Maxwell's equation. (c) Find A(z) from Ē(z) by the time-harmonic Maxwell's equation. Convert it to (z,t). Does it agree with (b)?
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