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What is the electric field of an infinitesimally small disk when z is very close to the disk and R appears to be huge? Or what is the electric field between two parallel plates?

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Final answer:

The electric field of a disk approximated as an infinite plane is constant and given by E = σ / (2ε0). This also holds true for the electric field between two large parallel plates, provided edge effects are minimized by having a small plate separation relative to plate dimensions.

Step-by-step explanation:

The question asked is related to the electric field generated by a disk and parallel plates. In the case of an infinitesimally small disk when the distance z above the disk is very small and the radius R is very large, the disk can be approximated as an infinite plane. For an infinite plane with a uniform charge density, the electric field is constant and given by E = σ / (2ε0), where σ is the surface charge density and ε0 is the permittivity of free space. This same formula applies to the electric field between two large parallel plates with opposite charges, assuming that the plate separation is small compared to the dimensions of the plates, thus minimizing edge effects.

The concept of an electric field generated by various charge distributions including disks, spherical capacitors, and rubber balloons is a fundamental aspect in physics, specifically in the study of electromagnetism, and is crucial for understanding how charged objects interact with one another.

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