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A constant current, I, flows in a thin wire that follows the "loop" shown in the figure below. TwO sections of the path follow arcs of radius, a and b that both subtend an angle, a. The two remaining sections of the path are purely radial. The loop is oriented such that it is symmetric about the x axis. Calculate the magnetic field at the origin in terms of the given parameters. Then evaluate the result when b → o. In that limit, what field do you obtain for a = is the same as the field at the origin obtained from a circular loop of radius, a. 27? Show that your result I
Transcribed Image Text:A constant current, I, flows in a thin wire that follows the "loop" shown in the figure below. TwO sections of the path follow arcs of radius, a and b that both subtend an angle, a. The two remaining sections of the path are purely radial. The loop is oriented such that it is symmetric about the x axis. Calculate the magnetic field at the origin in terms of the given parameters. Then evaluate the result when b → o. In that limit, what field do you obtain for a = is the same as the field at the origin obtained from a circular loop of radius, a. 27? Show that your result I
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