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A long conducting cylinder with radius R has a current I distributed uniformly. Suppose now two cylindrical cavities are carved out of the cylinder each with radius R/2. The cavities do not overlap at all. Find the magnetic ﬁeld a distance r > R away from the center at the two position shown

A long conducting cylinder with radius R has a current I dis-
tributed uniformly. Suppose now two cylindrical cavities are
carved out of the cylinder cach with radius R/2. The cavities
do not overlap at all. Find the magnetic field a distance r > R
away from the center at the two position shown.
Py
R.

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