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By showing that this electric field obeys Gauss' law, as well as the Maxwell Faraday equation...

By showing that this electric field obeys Gauss' law, as well as the Maxwell Faraday equation and write down in words what conditions need to be met. Consider both the differential and integral forms, whichever is most appropriate. For example, do you "see" the correct charge enclosed in a closed surface? How can I integrate electric field with da using Cartesian coordinate? Please also write the range (Integral from 0 to ~). If possible, please write the equations to represent on Mathmatica program. Thanks

Science   Advanced-Physics   
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