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Question: a parallelplate capacitor made of two disc shaped plates of...

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A parallel-plate capacitor made of two disc shaped plates of diameter R has a small spacing d between the plates

where R >> d. It is charged by a current I. Derive an expression for the magnetic field as a function of r the radial

distance from the axis of the capacitor. Recall that the electric field inside a parallel plate capacitor is  E = σ/(ε0) where σ is the surface charge Q/A (Q is the total charge in the capacitor and A is the area).

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