Notes 15 Spring 2005

Notes 15 Spring 2005 - Notes 15 Spring 2005.doc...

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Notes 15 Spring 2005.doc Transmission Lines 1 ) ) Comparing the general form of the uniform plane wave’s electric field that we have been using, i.e., with the form of the voltage that was used in studying circuit theory, i.e., we see that in the former case the spatially dependent phase term appears whereas in the latter case it does not. Since the voltage is closely related to the electric field (through the path integral) we should ask what the reason is for this discrepancy. ( φ + ω = kz t cos E E 0 ( φ + ω = t cos V V 0 kz Since λ π = 2 k we observe that the term λ π = z 2 kz is negligible whenever so we can say that when distances of interest (z) are separated by lengths on the order of a wavelength or longer delay effects become noticeable in the form of phase differences and the term kz is no longer negligible. λ << z In circuit theory the distances involved were usually much smaller than the wavelengths used and the term was neglected in the voltage expression.
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Notes 15 Spring 2005 - Notes 15 Spring 2005.doc...

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