Physics

Physics · electromagnetism

Problem

One side of a circular disc of radius R has an electric double layer of uniform strength mm spread over it. Prove that, along the line of symmetry which is normal to the plane of the disc (and hence passing through the centre of the circle), the electric field at a distance x from the layer is given by m_pπa22πε_0(a2+x2)3/2\frac{m\_p \pi a^2}{2\pi \varepsilon\_0 (a^2 + x^2)^{3/2}} ![](_page_101_Figure_1.jpeg) Fig. 1.23 Electric double layer.

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