Recent content by PerUlven
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Changing integration limits from [0,a] to [0, inf)
Thanks a lot guys. This is what happens when I sit and wonder about mathematics and physics into the night!- PerUlven
- Post #5
- Forum: Calculus and Beyond Homework Help
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Changing integration limits from [0,a] to [0, inf)
Homework Statement This isn't really homework, but a question I came upon when doing my homework. How can I go from an integral with limits 0 and a: \int_0^a f(x) dx to something with limits 0 and \infty (still giving the same answer) c\int_0^\infty f(u) du , where c is...- PerUlven
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- Integration Limits
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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How do ultrarelativistic particles behave in 3-D cubic boxes?
I tried another approach after some hint from another student, setting \epsilon_1' = 0 and \epsilon_2' = \epsilon_2 - \epsilon_1. Then the temperature dependence doesn't disappear when I derivate to find U and Cv, but the expressions doesn't look very nice. This is part 1 of a problem, so I...- PerUlven
- Post #2
- Forum: Advanced Physics Homework Help
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Effect of Doping Levels on Width of Depletion Region
I really don't know if you can solve this without using any formulas, since there seems to be a lot of factors. These are the formulas I would use W = \sqrt{\frac{2\epsilon_r\epsilon_0 V_j}{q}\left(\frac{1}{N_a} + \frac{1}{N_d} \right)}, where V_j = V_0 = \frac{kT}{q}\ln \left(...- PerUlven
- Post #5
- Forum: Introductory Physics Homework Help
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Calculating the flow rate of water from a tap and on the surface of a water tank
The speed of the water surface in the tank is related to how much water that leaves the tank per second. What's the relation between the amount leaving the tank and the change in the height of water in the tank? The direction ("speed + direction" = velocity) is -y, or downwards, since the...- PerUlven
- Post #2
- Forum: Introductory Physics Homework Help
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Effect of Doping Levels on Width of Depletion Region
But what happens to the concentration of ions in the depletion region when you increase the doping level?- PerUlven
- Post #2
- Forum: Introductory Physics Homework Help
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How do ultrarelativistic particles behave in 3-D cubic boxes?
The given problem: The permitted energy values for a massless (or ultrarelativistic) particle (kinetic energy much larger than rest energy) in a 3-dimensional cubic box of volume V = L^3, can be expressed in terms of quantum numbers n_{x}, n_{y} and n_{z}: \epsilon = \frac{hc\sqrt{n_x^2 +...- PerUlven
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- Cubic Particles
- Replies: 1
- Forum: Advanced Physics Homework Help