. The voltage V and the current i at a distance x from the sending end of the transmission line satisfy the equations. di GV dx dV -Ri, dx %3D where R and G are constants. If V = V, at the sending end (x = 0) and V = 0 at receiving end [ sinh n(1 – x) ] V = V, (x = 1). Show that sinh nl %3! When n2 = RG %3D
. The voltage V and the current i at a distance x from the sending end of the transmission line satisfy the equations. di GV dx dV -Ri, dx %3D where R and G are constants. If V = V, at the sending end (x = 0) and V = 0 at receiving end [ sinh n(1 – x) ] V = V, (x = 1). Show that sinh nl %3! When n2 = RG %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The voltage V and the current i at a distance x from the sending end of the
transmission line satisfy the equations.
dV
Ri,
dx
di
GV
dx
where R and G are constants. If V = V, at the sending end (x = 0) and V = 0 at receiving end
(x = 1). Show that
sinh n(1 – x)
V = Vo
%3D
sinh nl
When n? = RG
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