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Results tagged with homework-and-exercises
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user 27628
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
1
vote
Accepted
Finding a differential equation to for the amount of chemicals in a body of water
Here, you introduce the notation $Q(t)$ which means 'The amount of chemicals in the the pool at time $t$'. It is an important physical quality to get the equation.
In order to get the differential equ …
- 1,211
0
votes
0
answers
50
views
What are eigenfunctions in a box which includes two kinds of medium?
I have to solve a problem of mathematical physics. There is a simple case which can inspire me to solving a more complex case.
Considering a metal box in 2D $0<x<a$ and $0<y<b$. And there are two ki …
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2
votes
1
answer
78
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What is the trajectory of a particle under a constant angular force always perpendicular to ...
It is a question of classical mechanics, related but indeed distinguished from the central force problem.
The equation of motion can be expressed as below in polar coordinates:
$$\ddot{r}-r\dot{ …
- 1,211
12
votes
1
answer
459
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Is the uniqueness theorem correct in superconductivity?
There is an uniqueness theorem in electromagnetism. It says that the solution of Maxwell's Equations is determined uniquely by boundary conditions.
We can treat superconductivity as a completely diam …
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2
votes
1
answer
720
views
How to calculate energy in two-band Hubbard model
It might be a very easy question for you, but I am confused and I need helps.
In the simplest Hubbard model at one-dimensional lattice, I ignore the $U$ term and only remain the hopping term.
$$H=-t\ …
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1
vote
Non-symmetrical electrostatics problem
In fact, an infinite non-grounded conductor is not a well-defined boundary condition, especially in your case. The electric potential at infinite point cannot be defined as zero. The only well-defined …
- 1,211
1
vote
4
answers
969
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A question about canonical momentum and arbitrariness for potential in magnetism
The following question confuses me:
There exists magnetic field $B_z =- \beta x$ where $x > 0$, and a particle is incident from origin point $(0,0)$ with pisitive charge $q$, mass $m$, and speed $ …
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11
votes
1
answer
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Question about superconductivity
A long cylinder of radius $R$ is made from two different material. Its radius $r<r_0$
$(r_0<R)$ part is a material with superconducting transition temperature $T_1$, and its $r_0<r<R$ part is another …
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