I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
![]() | 1 | initial version |
I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
![]() | 2 | reformulation of the question in mathematical terms |
I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field.
![]() | 3 | No.3 Revision |
I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field.field for example: let →r(x,y)=(x,y), →E1=→r|r|32 and →E2(x,y)=→E1(x−1,y)
Then I want to plot the field lines of →E=→E1+→E2
![]() | 4 | added image |
I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field for example: let →r(x,y)=(x,y), →E1=→r|r|32 and →E2(x,y)=→E1(x−1,y)
Then I want to plot the field lines of →E=→E1+→E2
The field line plot should look similar to this one:
![]() | 5 | fixed some typos in the example |
I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field for example: let →r(x,y)=(x,y), $\vec{E_1} = \frac{\vec{r}}{|r|^{\frac{3}{2}}}$ \frac{\vec{r}}{|r|^{3}}$ and →E2(x,y)=→E1(x−1,y)
Then I want to plot the field lines of $\vec{E} = \vec{E_1} + - \vec{E_2}$
The field line plot should look similar to this one:
![]() | 6 | No.6 Revision |
I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?
Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field for example: let →r(x,y)=(x,y), →E1=→r|r|3 and →E2(x,y)=→E1(x−1,y)
Then I want to plot the field lines of →E=→E1−→E2
The field line plot should look similar to this one:
I think in mathematica this is called a stream plot: http://reference.wolfram.com/mathematica/ref/StreamPlot.html