3) An infinitely long, cylindrical conductor of radius R carries a current I with a non-uniform current density J = α r^2. α is a positive constant and r is the distance from the centre of the cylinder. a) Calculate the magnetic field at r ≤ R and r ≥ R. Work out the dot products, represent all the vectors with arrows.  b) If the current is flowing along the z-axis of the cylinder, what is the direction of the magnetic field? Express your answer using a unit vector in cylindrical coordinates.  c) Plot the magnitude of the magnetic field as a function of r.

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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.