A solid cylindrical conductor has a radius of 5mm and a conductivity that varies as a function of radius. The conductor is 20m long and there is a potential difference of 0.1V between its two ends. Within the conductor the magnetic field intensity is known to vary as a function of the radius, and is given by Ħ(p) = 10³ p² â (A/m) Answer the following: (a) Determine an expression for the current density everywhere within the conductor; (b) Determine an expression for the conductivity in the conductor as a function of radius; (c) Find the value of the resistance of this conductor
A solid cylindrical conductor has a radius of 5mm and a conductivity that varies as a function of radius. The conductor is 20m long and there is a potential difference of 0.1V between its two ends. Within the conductor the magnetic field intensity is known to vary as a function of the radius, and is given by Ħ(p) = 10³ p² â (A/m) Answer the following: (a) Determine an expression for the current density everywhere within the conductor; (b) Determine an expression for the conductivity in the conductor as a function of radius; (c) Find the value of the resistance of this conductor
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Author:Robert L. Boylestad
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Transcribed Image Text:A solid cylindrical conductor has a radius of
5mm and a conductivity that varies as a function of radius. The conductor is 20m long
and there is a potential difference of 0.1V between its two ends. Within the conductor
the magnetic field intensity is known to vary as a function of the radius, and is given
by
(p) = 105 p²a (A/m)
Answer the following:
(a) Determine an expression for the current density everywhere within the conductor;
(b) Determine an expression for the conductivity in the conductor as a function of
radius;
(c) Find the value of the resistance of this conductor
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