PLOT EQUIPOTENTIAL LINES MATHEMATICA

Build a new widget. Send feedback Visit Wolfram Alpha. To check your results, you should try increasing the settings for PlotPoints and MaxRecursion. ContourPlot initially evaluates f at a grid of equally spaced sample points specified by PlotPoints. Get creative and repeat for an arrangement of three charges in a triangular configuration as well as four charges in a square configuration. With some settings for PerformanceGoal , other specific option settings may be overridden. These will first draw a contour plot of equipotential lines of the specified functions, and then Mathematica will calculate the gradient for you and superimpose the resultant vector field on top of the equipotential lines.

I can do the electric field lines but the equipotentials are giving me trouble. At positions where f does not evaluate to a real number, holes are left so that the background to the contour plot shows through. To include the widget in a wiki page, paste the code below into the page source. In some cases, it may be more efficient to use Evaluate to evaluate the f i and g i symbolically before specific numerical values are assigned to x and y. These are the initial “packages” and pre-defined functions to save you some grunt work! Give Feedback Top Thank you for your feedback! Mathematica is pretty cool in that it can graphically illustrate a vector field both in two and three dimensions. To embed a widget in your blog’s sidebar, install the Wolfram Alpha Widget Sidebar Plugin , and copy and paste the Widget ID below into the “id” field:

Read these through just to get a hang of what they are doing. Then it uses an adaptive algorithm to subdivide at most MaxRecursion equupotential to generate smooth contours. Sign up using Email and Password.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Watch it swing positive and then negative.

Possible settings for ScalingFunctions include: ColorFunction is supplied with a single argument, given by default by the average of the scaled values of f for each pair of successive contour levels. Please complete this field.

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Contour Plot

To check your results, you matnematica try increasing the settings for PlotPoints and MaxRecursion. These will first draw a contour plot of equipotential lines of the specified functions, and then Mathematica will calculate the gradient for you and superimpose the resultant vector field on top of the equipotential lines.

Sign up or log in Sign up using Google. Email Required, but never shown. Here is a very convenient function that calculates the electric potential of a single point particle. Save to My Widgets.

ContourPlot

Build a new widget. Get creative and repeat mafhematica an arrangement of three charges in a triangular configuration as well as four charges in a square configuration. You can then add any number of charges together using the principle of superposition. Please try again later. ContourPlot returns Graphics [ GraphicsComplex [ lnes ] ].

To add the widget to Blogger, click here and follow the easy directions provided by Blogger. On the next page click the “Add” button. To embed a widget in your blog’s sidebar, install the Wolfram Alpha Widget Sidebar Pluginand copy and paste the Widget ID below into the “id” field:. Mathematica is pretty cool in that it can graphically illustrate a vector field both in two and three dimensions.

By clicking eqipotential Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the ,ines is subject to these policies. In determining how to color regions between contour levels, ContourPlot looks first at any explicit setting given for ContourShadingthen at the setting for ColorFunction. Same deal here, execute these statements to allow you to use these functions jathematica on. Make a 3-dimensional plot of this potential by typing out the command below.

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Contour Plot — from Wolfram MathWorld

ContourPlot treats the variables x and y as local, effectively using Block. To embed a widget in your blog’s sidebar, install the Wolfram Alpha Widget Sidebar Pluginand copy and paste the Widget ID below into the “id” field: Anjan Kumar Anjan Kumar 3, 1 10 At positions where f does not evaluate to a real number, holes are left so that the background to the contour plot shows through.

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Sign up using Facebook. In some cases, it may be more efficient to use Evaluate to evaluate the f i and g i symbolically before specific numerical values are assigned to x and y. To add a widget to a MediaWiki site, the wiki must have the Widgets Extension installed, as well as the code for the Wolfram Alpha widget.

The “z-axis” in this example is the value of the electric potential.

ContourPlot—Wolfram Language Documentation

The arguments supplied to functions in MeshFunctions and RegionFunction are xyf. These are the initial “packages” and pre-defined functions to save you some grunt work! Send feedback Visit Wolfram Alpha.

Home Questions Tags Users Unanswered. ContourPlot has attribute HoldAlland evaluates the f i and g i only after assigning specific numerical values to x and y. Post as a guest Name. Enable JavaScript to interact with content and submit forms on Equupotential websites.

The plot is left blank in any regions where f evaluates to None. The discontinuity is immediately visible only if it jumps out of a particular contour level. To include the widget in a wiki page, paste the code below into the page source. Mathematica Stack Exchange works best with JavaScript enabled. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject linds these policies.

You should realize that since it uses only a finite number of sample points, it is possible for ContourPlot to miss features of your functions.