- #1
Duc Nguyen
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The Attempt at a Solution
Part a is easy, but I don't know how to do the remaining of the problem.
How do you solve Part a of Callen 5.1-2?
- Thread starter Duc Nguyen
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Part a is easy, but I don't know how to do the remaining of the problem.
- #2
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Just to be sure, please tell us your results for part a.
In part b, they pretty much tell you how to bring about the change. Suppose you displace the piston to the right by a volume change ΔV. Do you know how to calculate the change in internal energy of each of the chambers, or the amount of work done by the piston on the gas in either chamber to bring about these volume changes? (I assume you have learned the equations for an adiabatic reversible expansion of an ideal gas.)
Chet
In part b, they pretty much tell you how to bring about the change. Suppose you displace the piston to the right by a volume change ΔV. Do you know how to calculate the change in internal energy of each of the chambers, or the amount of work done by the piston on the gas in either chamber to bring about these volume changes? (I assume you have learned the equations for an adiabatic reversible expansion of an ideal gas.)
Chet
- #3
BvU
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Hello duc, welcome to PF. 
Interesting exercise. Is there anything we can do for you ?
If you would like some assistance, please follow the guidelines. For mortals it's an infraction to assist folks who don't demonstrate an effort to attempt a solution.
Interesting exercise. Is there anything we can do for you ?
If you would like some assistance, please follow the guidelines. For mortals it's an infraction to assist folks who don't demonstrate an effort to attempt a solution.
- #4
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Ouch. Thanks for the reminder.BvU said:Hello duc, welcome to PF.
Interesting exercise. Is there anything we can do for you ?
If you would like some assistance, please follow the guidelines. For mortals it's an infraction to assist folks who don't demonstrate an effort to attempt a solution.
Chet
Hello everyone,
I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$
In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”:
$$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$
with $$r_{q}(t)=(0,0,z_{q}(t))$$
(I’m aware this isn’t...
Hi,
I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem.
Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$
Where ##b=1## with an orbit only in the equatorial plane.
We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$
Ultimately, I was tasked to find the initial...
Boundary conditions:
The derived Dirichlet and Neumann boundary conditions
In terms of the magnetic scalar potential:
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