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Electrostatics - 3rd plate inserted into parallel plate capacitor
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[QUOTE="jaytech, post: 4682128, member: 504250"] You can think of these problems in relation to their fields if you want (you wouldn't be wrong), but I have found examining E&M problems by their potentials is much easier (in the case of electrostatics you don't have to worry about vector quantities, just scalar ones). So yes, b/c of conservation laws the plate is still at V, but if you notice, the sum of potentials in each region should equal the total potential of the plate at V relative to the one at 0V (call these the "outer" plates). Now when adding plates, you aren't dividing the potential into equal parts necessarily. The potential contributions from each of the N plates when summed together must equal the total potential of the "outer" plates, but each individual plate's potential is determined by its distance d from a reference or ground source (in this case the plate at 0V). If you set up this summation mathematically, you actually wind up deriving the expression for series capacitance. It's worth doing if you have the time, as it's really neat to see that from Gauss' Law, you obtain a real world application to electronic circuitry. [/QUOTE]
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Electrostatics - 3rd plate inserted into parallel plate capacitor
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