A very large conducting plate lying in the xy plane carries a charge per unit area of +5.0 nC/m2. A second such plate located above the first plate at z = z0 and oriented parallel to the xy plane carries a charge per unit area of -5.0 nC/m2. Find the electric field for (a) z < 0, (b) 0 < z < z0, and (c) z > z0.

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Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

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A: The solution is given in below picture

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Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.