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
Q. Biasing the BJT? A simple method of biasing the BJT is shown in Figure. While no general biasing procedure that will work in all cases can be outlined, a reasonable approach

WHAT ABOUT THE STABILITY IF WE USE COMPENSATOR

To design a VI that can be used to show how the voltage falls across a resistor in a simple CR circuit when excited by a step function. The title of the VI will be Capacitor Res

Q. What do you mean by Nibble? The nibble is a collection of bits on a 4-bit boundary. It would not be a particularly interesting data structure except for two items BCD (binar

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

Ask questionDraw the following circuits on the PROTEUS and check the output waveform on oscilloscope #Minimum 100 words accepted#

Both DTL and TTL are based on the saturating BJT inverter. The transistor acts as a switch that connects or disconnects the collector and emitter. The switch is closed when suffici

Properties of a p-n junction The p-n junction possesses several interesting properties that have helpful applications in modern electronics. A p-doped semiconductor is compara

Q. A 230-V, single-phase, 60-Hz source supplies two loads in parallel. One draws 10 kVA at a lagging power factor of 0.80 and the other draws 6 kWat a lagging power factor of 0.90.

jsidjsiod dkndkdisd dknssbs bsjbabd asj u dhihf ujojdsajfs sjssaidhsidw idgsdusadidjwap ewkeowr krwnrh bwvr [ wrj wrj 1 nnwoi khiwrjw ko e woewerijr rjwr jr rjhpr