The current density inside a cylindrical wire of radius R changes as j = ar, r being the radial distance to the center of the wire and a being a constant. (a) Calculate the curent in the wire at a distance r from the center of the wire. i (b) What is the magnitude of the magnetic field produced by the current at a distance r inside the wire? (c) Calculate the magnitude of the magnetic field at a distance r outside the wire. (d) Graph B(r) as a function of r fromr = 0 to r = 3R.
The current density inside a cylindrical wire of radius R changes as j = ar, r being the radial distance to the center of the wire and a being a constant. (a) Calculate the curent in the wire at a distance r from the center of the wire. i (b) What is the magnitude of the magnetic field produced by the current at a distance r inside the wire? (c) Calculate the magnitude of the magnetic field at a distance r outside the wire. (d) Graph B(r) as a function of r fromr = 0 to r = 3R.
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Transcribed Image Text:The current density inside a cylindrical wire
of radius R changes as j = ar, r being the radial distance to the
center of the wire and a being a constant.
(a) Calculate the curent in the wire at a distance r from the center
of the wire.
i
(b) What is the magnitude of the magnetic field produced by the
current at a distance r inside the wire?
(c) Calculate the magnitude of the magnetic field at a distance r
outside the wire.
(d) Graph B(r) as a function of r fromr = 0 to r = 3R.
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