Calculate the fraction of particles - top plate, Electrical Engineering

Consider a colloidal suspension of latex particles confined between two plates. The plates are charged, so there is an electric potential difference V between them (as shown). The number of particles is N and the temperature is T. The system is isolated from the environment and gravitational effects are negligible. Let each particle carries a positive charge +q so that they are more likely to be near the plate at the top in the figure, which is negatively charged, than the bottom one, which is positively charged. The system is very dilute, so particles are independent of each other and the electrostatic interaction between particles can be neglected. For simplicity, assume that in the z direction each particle may only be at one of the following two locations: either attached to the top plate or attached to the bottom one.

(i) Calculate the fraction of particles attached to the top plate. Sketch this as a function of:

25_Calculate the Fraction of Particles.png

(a) T,(b) V. Discuss the physical meaning of your results. Hint/thoughts: Total energy is dependent upon the distribution of the particles between the two plates. The number of configurations associated with a certain energy can be determined, and the entropy of the system can then be expressed as a function of the energy, volume, and number of particles. Using the total energy of the system can be found.

1004_Calculate the Fraction of Particles 2.png

(ii) Consider the case at room temperature (300 K) and q = 10 e, where e is the magnitude of the charge carried by an electron. How large does V need to be so that the particles have a significant preference to reside at the top plate? (q should be regarded as the effective charge carried by a particle). 



Posted Date: 3/25/2013 2:41:30 AM | Location : United States

Related Discussions:- Calculate the fraction of particles - top plate, Assignment Help, Ask Question on Calculate the fraction of particles - top plate, Get Answer, Expert's Help, Calculate the fraction of particles - top plate Discussions

Write discussion on Calculate the fraction of particles - top plate
Your posts are moderated
Related Questions
For sign flag  RP ( Return on Plus ) and RM ( Return on no minus ) Instructions RM returns from the subroutine  to the calling program if sign flag is set  (S=1). The in

explain compensation and charge neutrality in GaAs

Q. A silicon BJT has an emitter current of 5m Aat 300 K when the BEJ is forward-biased by vBE = 0.7 V. Find the reverse saturation current of the BEJ. Neglecting ICBO, calculate iC

8 bit  data to memory This form  of the  instruction is used to  copy 8 bit  data directly  to the memory  location pointed  by register pair HL.  The instruction  format is

Q. A transmission line with a dielectric (εr = 3.5) is 100 m long. At a frequency of 10 GHz, how many wavelengths long is the line?

Explain i onic polarization. Ionic polarization is polarization that is caused by relative displacements between negative and positive ions in ionic crystals (for illustrati

Feedback amplifiers are of great importance in electronic circuits. The block diagram of a class of feedback amplifier is shown in Figure. Determine the transfer function C/R for t

Explain Interrupts of 8085. a) Maskable  interrupt b)  Vectored interrupt c)  Non maskable interrupt d) Hardware interrupt e)  Software interrupt

A 500-hp, wye-connected, wound-rotor induction motor, when operated at rated voltage and frequency, develops its rated full-load output at a slip of 0.02; maximum torque of 2 times