Q2: A 2.5 -mm-diameter electrical wire is insulated by a 2-mm-thick rubberized sheath (k = 0.11 W/m K), and the wire/sheath interface. The convection heat transfer coefficient of the outer surface of the sheath is 10 W/m² K, and the %3D temperature of the ambient air is 20 C. If the temperature of the insulation may not exceed 50 C, what is the maximum allowable electrical power that may be dissipated per unit length of the conductor? What is the critical radius of the insulation?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q2: A 2.5 -mm-diameter electrical wire is insulated by a 2-mm-thick rubberized
sheath (* = 0.11 W/m K), and the wire/sheath interface. The convection heat
transfer coefficient of the outer surface of the sheath is 10 W/m² K, and the
temperature of the ambient air is 20 C. If the temperature of the insulation may not
exceed 50 C, what is the maximum allowable electrical power that may be
dissipated per unit length of the conductor? What is the critical radius of the
insulation?
Transcribed Image Text:Q2: A 2.5 -mm-diameter electrical wire is insulated by a 2-mm-thick rubberized sheath (* = 0.11 W/m K), and the wire/sheath interface. The convection heat transfer coefficient of the outer surface of the sheath is 10 W/m² K, and the temperature of the ambient air is 20 C. If the temperature of the insulation may not exceed 50 C, what is the maximum allowable electrical power that may be dissipated per unit length of the conductor? What is the critical radius of the insulation?
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