Consider a cylindrical coaxial cable. The center conductor is solid with radius of R, while the outer conductor is hollow with inner radius a and outer radius b. Both conductors have the same total current I (of uniform current density), moving in the opposite direction of each other. Find the magnitude of the magnetic field as a function of r (where r = 0  at the central axis) in the interval a is less than or equal to r which is less than b. I am unsure of how to start this problem and set up the correct equation.

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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.