(b) A nanowire has a density of charge p distributed along the x axis, which is described as follows: p= -e at x = 0 p= 32x for a

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(b) A nanowire has a density of charge p distributed along the x axis, which is
described as follows:
p= -e at x =0
p= 32x for a <x <b
where 2, a and b are positive constants.
(i) Derive an expression for the electrical dipole moment as a function of 1, a and b.
(ii) Supposing that the nanowire is free to rotate in all the directions, explain how the
average electrical dipole moment would depend on temperature, under the influence
of a small applied electrical field.
Transcribed Image Text:(b) A nanowire has a density of charge p distributed along the x axis, which is described as follows: p= -e at x =0 p= 32x for a <x <b where 2, a and b are positive constants. (i) Derive an expression for the electrical dipole moment as a function of 1, a and b. (ii) Supposing that the nanowire is free to rotate in all the directions, explain how the average electrical dipole moment would depend on temperature, under the influence of a small applied electrical field.
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