A long cylindrical shell has a uniform current density. The total current flowin

Question

A long cylindrical shell has a uniform current density. The total current flowing through the shell is 13 mA. The permeability of free space is 1.25664×10?6T·m/A. Find the magnitude of the magnetic field at a point r1 = 3.8 cm from the cylindrical axis. Answer in units of nT. ..ooo AT&T; Wi-Fi 8:47 PM quest.cns.utexas.edu Find the magnitude of B-d1 around the window frame Answer in units Copy 019 10.0 points A long cylindrical shelr has a uniform current density. The total current flowing through the shell is 13 mA free The permeability of 1.25664 × 10-b T·m/A. s pace is 7 cm 2 cm The current is 13 mA Find the magnitude of the magnetic field at Answer in units of nT. a point r1 3.8 cm from the cylindrical axis 020 (part 1 of 2) 10.0 points A magnetic field of 0.8 T is perpendicular to a square coil of 20 turns. The length of each side of the coil is 6 cm Find the magnetic flux through an individ

Explanation / Answer

Assuming µ(wire) = µ0, and treating 13 km as infinite length.
Distance d (same as your "r1") = 0.038 m

wire O.R. r1 = 0.07 m, wire I.R. r2 = 0.02 m

Ienclosed = I*(d^2-r2^2)/(r1^2-r2^2) = 3.016E-3 A
B = µ(wire)/(2d)*Ienclosed = 15.87 nT

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