A solid conductor occupies the cylindrical region p< b, 0 < z< h, where b = 6 mm and h = 20 m. A potential difference of 0.16 Volts between the ends at z = 0 m and z = 20 m drives a steady current in the direction az, and this produces a magnetic field intensity inside the conductor given (in units of A/m?) by Н- Hop'as; Ho = 4 x 105. Hint: read the full question and decide what order to solve the parts in. They don't necessarily have to be solved in order. (a) Find the total resistance between z = 0 and z = h. ANSWER: R = 0 (b) Find a formula involving c for I(c), the current flowing the region where p < c, assuming 0 < c< b. ANSWER: I(c) = A (c) Find a formula involving c for J(c), the current density at any point where p = c, assuming 0 A/m2

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A solid conductor occupies the cylindrical region p< b, 0 < z < h, where b = 6 mm and h = 20 m. A potential difference of 0.16 Volts between the
:20 m drives a steady current in the direction az, and this produces a magnetic field intensity inside the conductor given (in units
ends at z =
0 m and z =
of A/m?) by
H = Hop as;
Но — 4 х 105.
%3D
Hint: read the full question and decide what order to solve the parts in. They don't necessarily have to be solved in order.
(a) Find the total resistance between z = 0 and z = h.
ANSWER: R
(b) Find a formula involving c for I(c), the current flowing in the region where p < c, assuming 0 < c< b.
ANSWER: I(c)
A
(c) Find a formula involving c for J(c), the current density at any point where p= c, assuming 0 < c < b. Enter your answer (a vector, of course) in
Cartesian notation, (Jæ, Jy, Jz).
ANSWER: J(c) = <0,0,0>
A/m?
(d) Find a formula involving p for the position-dependent conductivity o(p) inside the conductor. For WeBWorK, type "p" instead of p.
ANSWER: o(p) = 0
S/m
Transcribed Image Text:A solid conductor occupies the cylindrical region p< b, 0 < z < h, where b = 6 mm and h = 20 m. A potential difference of 0.16 Volts between the :20 m drives a steady current in the direction az, and this produces a magnetic field intensity inside the conductor given (in units ends at z = 0 m and z = of A/m?) by H = Hop as; Но — 4 х 105. %3D Hint: read the full question and decide what order to solve the parts in. They don't necessarily have to be solved in order. (a) Find the total resistance between z = 0 and z = h. ANSWER: R (b) Find a formula involving c for I(c), the current flowing in the region where p < c, assuming 0 < c< b. ANSWER: I(c) A (c) Find a formula involving c for J(c), the current density at any point where p= c, assuming 0 < c < b. Enter your answer (a vector, of course) in Cartesian notation, (Jæ, Jy, Jz). ANSWER: J(c) = <0,0,0> A/m? (d) Find a formula involving p for the position-dependent conductivity o(p) inside the conductor. For WeBWorK, type "p" instead of p. ANSWER: o(p) = 0 S/m
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