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. 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
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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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
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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