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Results tagged with homework-and-exercises
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user 34264
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.
3
votes
2
answers
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How to solve the Laplace Equation in the hollow square region?
Suppose the values of $a$, $b$, $V_1$ and $V_2$ is given. I want to find the solution of the Laplace equation,
$$\frac{\partial^2 \phi}{\partial x^2}+\frac{\partial^2 \phi}{\partial y^2}=0$$
in the or …
- 420
1
vote
How can I find the potential created by spherical capacitor with dielectric material?
Using the Gauss's law (see this Link), the solution is as follow,
$$
\Phi (r) = \left\{ {\begin{array}{*{20}{c}}
{\frac{q}{{4\pi \varepsilon {r_1}}}\,\,\,\,for\,\,\,r \le {r_1}}\\
{\frac{q}{{4\pi \var …
- 420
4
votes
Accepted
Torque due to Gravity
The proof is most easiest if we use the vector notation. We have
$$\vec \tau = \int {d\vec \tau } = \int {(\vec r \times dm\vec g)} = \left( {\int {\vec r dm} } \right) \times \vec g$$
where I hav …
- 420
1
vote
Accepted
What is the gravitational field lines pattern of a sphere of mass $m_1$ in an open ended box...
See this Figure For point mass $m_1=1$, and box mass $m_2=3$, and box size $a$.
- 420