Please Give me solutions for these questions:

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The discussion revolves around solving several physics problems related to silicon's electrical properties. Participants emphasize the importance of showing attempts at solutions to facilitate guidance, rather than simply asking for answers. Key topics include calculating current flow in pure silicon, estimating resistivity at different temperatures, and understanding minimum conductivity in semiconductors. Additionally, the behavior of gold (Au) atoms in an N-type silicon crystal is explored, particularly regarding their role as donors or acceptors. The conversation underscores the need for adherence to forum guidelines and encourages a proactive approach to problem-solving.
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1. Consider a piece of pure silicon 100 mm long with a cross sectional area of 1 mm2.
How much current would flow through this “resistor” at room temperature in response
to an applied voltage of 1 volt?

2. Estimate the resistivity of pure silicon in V cm at (a) room temperature, (b) 77K,
and (c) 1000°C.You may neglect the temperature dependence of the carrier mobility
in making this estimate.

3. a. Show that the minimum conductivity of a semiconductor sample occurs when
b. What is the expression for the minimum conductivity?
c. Is this value greatly different than the value calculated in problem 1.4 for the intrinsic
conductivity?

4. When a Au atom sits on a lattice site in a silicon crystal, it can act as either a donor
or an acceptor. ED and EA levels both exist for the Au and both are close to the middle of the silicon bandgap. If a small concentration of Au is placed in an N-type
silicon crystal, will the Au behave as a donor or an acceptor? Explain.

please post the answers asap if u can solve. Thanx.
 
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corrention for 3.a

a. Show that the minimum conductivity of a semiconductor sample occurs when n=ni*root(μp/μn)
 
No one is going to give you the answers. They would be in violation of the rules and spirit of this website.

We can help you with your homework, but to do this you need to show an attempt at the solutions so that we know where you are having problems.
Please read the PF guidelines: https://www.physicsforums.com/showthread.php?t=5374
 
I am really sorry for that posting. I must try it by myself before posting the questions. I am again sorry. Hope to not do the same again.
 
MSEN, please write the respective equations for the each problem, then someone can point you in the right direction.

1. What is the relationship between voltage, V, current, I, and resistance R? The what is the relationship between resistance and resistivity, or reciprocally, conductivity?
 
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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