A round underwater transmission cable consists of a core ofcopper wires surrounded by nonconducting insulation. If x denotesthe ratio of the radius of the core to the thickness of theinsulation, it is known that the speed of the transmission signalis given by the equation y = x2 ln (1/x). If the radius of the coreis 1 cm, what insulation thickness h will allow the greatest transmissionspeed?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.34MCQ
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A round underwater transmission cable consists of a core of
copper wires surrounded by nonconducting insulation. If x denotes
the ratio of the radius of the core to the thickness of the
insulation, it is known that the speed of the transmission signal
is given by the equation y = x2 ln (1/x). If the radius of the core
is 1 cm, what insulation thickness h will allow the greatest transmission
speed?

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