Answered: (b) A nanowire has a density of charge…

(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

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter1: Atomic Structure

Section: Chapter Questions

Problem 6RQ: How many valence electrons are generally contained in materials used for insulators?

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Concept explainers

Power Measurement

According to Blondel's theorem, the total power is measured with one less number of wattmeters than the number of wires present in the system. So, a single-phase and two-wire system will require one wattmeter and a single-phase and the three-wire system will require two wattmeters, and a three-phase and the three-wire system will also require two wattmeters and a three-phase and the four-wire system will require three wattmeter devices. The wattmeter is a device that measures power using one voltage and one current input as shown in the above figure. Multiple current or voltage input pair cables are used by many power analyzers and digital storage oscilloscopes (DSOs) for measuring watts, in effect within a single instrument acting as multiple wattmeters. It is possible to measure three-phase and four-wire power with one correctly specified power analyzer.

Question

Please Solve only ( ii )

(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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