A cylindrical shell of inner radius a, outer radius b, and height h is shown. a) If there is a potential difference between the left face and the right side of the cylinder, and taking the left face as the reference to measure the horizontal distance x, calculate the electrical resistance that the material has if the resistivity is considered constant, this It is, p = p0, with p0 a positive constant. b) Repeat the previous section, for the case in which the resistivity varies according to the relationship p1 p1 is a postive constant c) If for the case of part a) it were requested to increase the electrical resistance, explain three different ways of doing it, changing the parameters of the problem d) Suppose the cylinder in subparagraph a) increases its temperature, that is, heats up, increasing its radios and height by 1%. With this information, discuss possible changes in the strength of the cylindrical shell.
A cylindrical shell of inner radius a, outer radius b, and height h is shown. a) If there is a potential difference between the left face and the right side of the cylinder, and taking the left face as the reference to measure the horizontal distance x, calculate the electrical resistance that the material has if the resistivity is considered constant, this It is, p = p0, with p0 a positive constant. b) Repeat the previous section, for the case in which the resistivity varies according to the relationship p1 p1 is a postive constant c) If for the case of part a) it were requested to increase the electrical resistance, explain three different ways of doing it, changing the parameters of the problem d) Suppose the cylinder in subparagraph a) increases its temperature, that is, heats up, increasing its radios and height by 1%. With this information, discuss possible changes in the strength of the cylindrical shell.
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Transcribed Image Text:A cylindrical shell of inner radius a, outer radius b, and height h is shown.
0
a) If there is a potential difference between the left face and the right side of the cylinder, and taking the
left face as the reference to measure the horizontal distance x, calculate the electrical resistance that
the material has if the resistivity is considered constant, this It is, p = p0, with p0 a positive
constant.
b) Repeat the previous section, for the case in which the resistivity varies according to the relationship
h
p1
,p1 is a postive constant
c) If for the case of part a) it were requested to increase the electrical resistance, explain three different
ways of doing it, changing the parameters of the problem
use R=
e dL
d) Suppose the cylinder in subparagraph a) increases its temperature, that is, heats up, increasing its
radios and height by 1%. With this information, discuss possible changes in the strength of the
cylindrical shell.
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