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Consider a long cylindrical conductor of radius \(r = 2 m\) placed above a large grounded conducting plane, such that its axis is parallel to the plane and is at at ...

Here we will solve the three dimensional particle in a box. To describe the system, we imagine a box with zero potential enclosed in dimensions \(0<x<a\), \(0<y<b\), \(0<z<c\). Outside the ...

A neutral soap bubble has a radius \(R\), mass \(M\), and the liquid making its boundary has surface tension \(\sigma\). Now, this soap bubble is given a very small charge ...

I am interested in holding an Integration Contest here on Brilliant.org like any other online forums such as AoPS or Integrals and Series. The aims of the Integration Contest ...

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