Calculating Carrier Concentration in Semiconductors Using the Hall Effect

AI Thread Summary
To calculate carrier concentration in semiconductors using the Hall effect, the formula n = wBJ/eV is relevant, where J is the current density. The user struggles to find the current density J due to a lack of information on the current I and resistance R. Suggestions include using the relationship J = I/(wt) and exploring Ohm's law to derive R, but the user is frustrated by not having enough data. The discussion emphasizes breaking down the problem and finding alternative relationships to derive the necessary values. Persistence and creative problem-solving are encouraged to overcome the confusion.
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A question on semiconductors.

I need to determine the carrier concentration and type.

I have worked out the type but its the conc. that is getting me.

I have the conc., n, as:

n = wBJ / eV

w is the width of sample, B the mag. field, e is charge, and V the Hall voltage...these are all known EXCEPT J. Now the only other pieces of info I have are the sample dimensions and the battery voltage that supplies the current.

I can't for the life of me see where I find J. I just can't get it!

Any pointers in the right directions?
 
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one way to start is by noting that J = I/(wt) , where t is the thickness of the sample ..
 
Yes, but i do not know the current? It leaves me in the same boat...
 
okay .. what if you considered the relation v = IR >> I = v/R .. you can get it don't give up :)
 
Dont have R tho... :p

i only have the info as stated in the question. Damn I am confused!
 
COME ON! :o .. just break things up >> I can't help you with this one, I will just give hints .. you said you want R , so can you find another relation from where you can get R from what you are given in the question (of course other than R=V/I) >>> there is one please try to make some efforts I know sometimes it is not easy but atleast try harder ..
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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