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transmission line models telegraphist's equations. transmission lines. three basic types. (a) integrated circuit. (b) coaxial cable. (c) twin lead. w. y. d. D z. x. z. strip line. metal. insulator. metal. w. E. d. D z. y. x. z. w. d. D z. B. y. x. z. D z. a.
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transmission line models telegraphist's equations
transmission lines three basic types (a) integrated circuit (b) coaxial cable (c) twin lead
w y d D z x z strip line metal insulator metal
w E d D z y x z
w d D z B y x z
D z a coaxial cable b
D D z a twin lead
z-z z z+z
z-z z z+z
z-z z z+z
z-z z z+z
z-z z z+z
z-z z z+z Telegraphist's equations
z-z z z+z Wave equation
velocity of propagation units
w d D z strip line
RC transmission line diffusion equation
V z I V(0, t) = Vo V(, t) = 0 V(z, 0) = 0
Diffusion equation heat equation
Diffusion equation heat equation
Boltzmann dimensional analysis group theory
V(, t) = 0 V(z, 0) = 0 invariants
delta function source impulse function source
P. D. E. O. D. E.
I S U hot stove - constant source
diffusion of the voltage with a constant voltage source @ z = 0
Nonlinear transmission line V z I
“sharp front” t = 1, 3, 5 1 Q 0.5 0 0 1 2 3 z
Lonngren, K. E. and Bai, E. W. "On the Capacitance of Integrated Circuit Elements," IEEE Circuits and Devices Journal, Vol. 15, 1999, pp. 24-27.