Question

The 5th page of lecture 24:

2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly c. Using the formulas on the Sth page of my notes for lecture 24, derive an integral d. The integral can be approximated for a>R in a power series expansion of the why this is true. expression, with 8 (see figure) being the integration variable, for A(F- ia) integrand. Keep only the lowest order that gives a non-zero integral and find arn approximate expression for A. Generalize this to any point in the xy plane at radiusr > R, not just points on the e. r-axis. f. Use this form to derive an expression for B(x,y,z = 0) for points outside the loop and lying in the ay plane. Make sure you describe the amplitude and vector direction of the magnetic field.

Answer 1

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