Consider a portable electric blanket that runs on a 4, 5 V battery. If you use copper wire with a 0, 5 mm diameter as the heatingelement, how long should the wire be (in units of meters) if you want to generate 15 W of heating power?(Take the resistivity of the copper wire as p = 1.7 × 10N. m.)

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how long should the wire

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 57PQ

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

Consider a portable electric blanket that runs on a 4, 5 V battery. If you use copper wire with a 0, 5 mm diameter as the heating
element, how long should the wire be (in units of meters) if you want to generate 15 W of heating power?
(Take the resistivity of the copper wire as p = 1.7 × 10
N. m.)

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