Problem 1: A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates an 1 = 6.5 m long, D = 2.0 mm diameter wire of the material, connects it to a AV = 1.5 V battery, and measures a B = 3.0 mT magnetic field Ar = 1.0 mm from the surface of the wire. What is the material's resistivity? a) Express the resistivity of the material, p, in terms of the resistance R and the geometric characteristics (1, D) of the wire. In steps a) - c), work only with symbols, do not use numerical values of the parameters. b) Express the resistance of the wire R in terms of the potential of the battery and the current I flowing through the wire. c) Express the current I through the wire in terms of the magnetic field B and the relevant distances (you need to use the formula for the magnetic field created by a long straight wire). Notice that Ar in this problem means the distance from the surface, not from the center of the wire as in the formula for the magnetic field. d) Combining your answers from parts a)-c), work out a symbolic formula for the resistivity p in terms of all the parameters given in the problem and the relevant physical constants. Use it to compute the value of p. (Answer: p= 2.4 x 10-8 22 m)

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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.