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# lec4 - PEP112 Spring 2008 Prof Svetlana Malinovskaya 28...

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PEP112 – Spring 2008 Prof. Svetlana Malinovskaya 28 January 2008 The Parallel-Plate Capacitor. Motion in an Electric Field.

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A Disk of Charge 2 23 / 2 0 2 / 2 1 0 22 0 2 0 1 4 () 4 1 2 1 4 i iz i N i disk z i i disk z disk z z Q E rz zQ E z E z R zR Q E z πε η ε = Δ = + Δ = + =− + = ±
A Plane of Charge Many electronic devices use charged, flat surfaces – disks, squares, rectangles, etc. These charged surfaces are called electrodes. We can often model an electrode as an infinite plane of charge. 22 0 0 0 0 1 2 2 0 2 0 2 disk z plane plane z E z R R E z E z η ε =− + →∞ = > = −<

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The Parallel-Plate Capacitor Two electrodes with charge +Q and –Q placed face-to-face a distance d apart are called a parallel-plate capacitor. Our goal is to find the electric field inside and outside the capacitor. The net charge of the capacitor is zero. Capacitors are charged by transferring electrons from one plate to another. The plate that gains electrons has charge –Q=N(-e).
The electric fields inside and outside a charged parallel-plate capacitor All of the charge is on the inner surfaces of the two plates. Thus plates can be modeled by infinitely-large planes as long as distance d is much less than the side of the plate.

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lec4 - PEP112 Spring 2008 Prof Svetlana Malinovskaya 28...

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