A hollow and open-ended cylinder of height 2h and radius b is centered on the origin and aligned with the z-axis. The curved surface of the cylinder has a surface current of Ko. 2h 1. Find B(:) using the Biot-Savart formula 2. Use the formula 1 = P(u)t' V1- 2ut + t2 to express B,(:) as a power series involving the Legendre polynomials, P, and :.

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A hollow and open-ended cylinder of height 2h and radius b is centered on the origin and aligned with the z-axis. The curved surface of the cylinder has a surface current of
К.ф.
2h
K.
1. Find B(:) using the Biot-Savart formula
2. Use the formula
1
= S P(u)t'
V1- 2ut + t2
1=0
to express B,(2) as a power series involving the Legendre polynomials, P, and :.
Transcribed Image Text:A hollow and open-ended cylinder of height 2h and radius b is centered on the origin and aligned with the z-axis. The curved surface of the cylinder has a surface current of К.ф. 2h K. 1. Find B(:) using the Biot-Savart formula 2. Use the formula 1 = S P(u)t' V1- 2ut + t2 1=0 to express B,(2) as a power series involving the Legendre polynomials, P, and :.
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