Consider a circular ring of radius r as shown in figure 3, through which a current i passes: a) Calculate the magnetic field along the central axis, x. b) Calculate the magnetic fields at the center, O, and a point far away from the ring on the x-axis. c) Graph the magnitude of the magnetic field B (x) as a function of x.
Consider a circular ring of radius r as shown in figure 3, through which a current i passes:
a) Calculate the magnetic field along the central axis, x.
b) Calculate the magnetic fields at the center, O, and a point far away from the ring on the x-axis.
c) Graph the magnitude of the magnetic field B (x) as a function of x.
d) Calculate at what distance r measured from the center, the derivative of the magnetic field is constant. Calculate the magnetic field at this position.
e) The Helmholtz coils consist of two coils of equal radii separated by the distance 2r calculated in d), through which a current i circulates as shown in figure 4. Calculate the magnitude of the magnetic field at point P equidistant from the coil.
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