A very long coaxial cylindrical cable is composed of an inner solid cylinder of radius R1 and an outer hollow cylinder of radius R2,{The space between inner and outer cylinders is empty}. An electrical current I runs through the inner cylindrical wire and returns through the outer cylindrical wire. (a) Write down the magnetic energy density function for both the inner and outer regions of the cable. (b) What is the energy per unit length L, for all regions (Both for inner and outer regions)?

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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.