a) If there is a potential difference between the left face and the right face of the cylinder and taking the left face as the reference to measure the horizontal distance x, calculate the electrical resistance presented by the material if the resistivity is considered constant, that is, p = po, with po a positive constant. b) Repeat the previous subsection, for the case in which the resistivity varies according to the relationship p = positive constant. c) If for the case of a) you were asked to increase the electrical resistance, explain three different ways to do it, changing the parameters of the problem. d) Suppose that the cylinder in (a) increases its temperature, i.e., it heats up, increasing its radii and height by 1%. With this information, discuss the possible changes in the resistance of the cylindrical shell. with p1 a Note: The following equation may be useful. pdL R = A

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a) If there is a potential difference between the left face and the
right face of the cylinder and taking the left face as the
reference to measure the horizontal distance x, calculate the
electrical resistance presented by the material if the resistivity
is considered constant, that is, p = po, with po a positive
constant.
b) Repeat the previous subsection, for the case in which the
resistivity
varies according to the relationship p = P1 () , with pi a
positive constant.
c) If for the case of a) you were asked to increase the electrical
resistance, explain three different ways to do it, changing the
parameters of the problem.
d) Suppose that the cylinder in (a) increases its temperature, i.e.,
it heats up, increasing its radii and height by 1%. With this
information, discuss the possible changes in the resistance of
the cylindrical shell.
3
Note: The following equation may be useful.
pdL
R =
%3D
A
Transcribed Image Text:a) If there is a potential difference between the left face and the right face of the cylinder and taking the left face as the reference to measure the horizontal distance x, calculate the electrical resistance presented by the material if the resistivity is considered constant, that is, p = po, with po a positive constant. b) Repeat the previous subsection, for the case in which the resistivity varies according to the relationship p = P1 () , with pi a positive constant. c) If for the case of a) you were asked to increase the electrical resistance, explain three different ways to do it, changing the parameters of the problem. d) Suppose that the cylinder in (a) increases its temperature, i.e., it heats up, increasing its radii and height by 1%. With this information, discuss the possible changes in the resistance of the cylindrical shell. 3 Note: The following equation may be useful. pdL R = %3D A
Figure 1 shows a cylindrical shell of inner radius a, outer radius b
and height h.
y
a
b
h
Figure 1: Conductive cylindrical shell
Transcribed Image Text:Figure 1 shows a cylindrical shell of inner radius a, outer radius b and height h. y a b h Figure 1: Conductive cylindrical shell
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