Figure 10.47
10.13 Power Line Current Sensor. A sensor designed to detect and estimate the current in a power line remotely is
proposed as follows: A small coil of area S is placed at ground level at the center between the two conductors of an AC
power line (see Figure 10.48). The line carries a current I0 (RMS) at frequency f and is sinusoidal. The surface of
the loop is parallel to the ground. If the height of the lines and their separation is known, find a relation between the
current in the line and the emf produced in the coil. Assume the coil has area S [m2] and N turns. All materials
involved have permeability of free space.