A very long, right circular cylindrical copper wire has an outer radius a and carries a non-uniform current along its central longitudinal axis. The current density J varies with the distance r from the axis according to the relationship given by J = αr/a, where α is some positive constant; the current outside the conductor vanishes. What is the value of the magnetic field at r = a/3?

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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.