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a) Prove that, the electric field reigning in between the plates of a parallel plate capacitor, is constant. Hint: Show, via using Gauss Law that a uniformly charged infinite plane of surface density o, creates at any altitude above or below it, an electric field intensity E= a/2co, written n MKS unit system. b) Despite this result, the electric field intensity between the plates of a capacitor amounts to E= alco Why? Is the outcome valid near the edges of the plates? c) The width between the plates is d. The electric potential between them amounts to, V=Ed. Why? d) Suppose the surface area of each plate is S, and the intensity of the stored charge is q. Show that the capacitance C=q/V, can be expressed as C=Sco/d. e) The MKS unit for C'nin is Farad (Coulomb/Volt). Suppose C=lx10•1² Farad, and V=1Volt. How many electrons under the given circumstnaces are moved form one plate to the other? The electron charge intensity is e=1.6x10-19 Coulomb.

a) Prove that, the electric field reigning in between the plates of a parallel plate capacitor, is constant. Hint: Show, via using Gauss Law that a uniformly charged infinite plane of surface density o, creates at any altitude above or below it, an electric field intensity E= a/2co, written n MKS unit system. b) Despite this result, the electric field intensity between the plates of a capacitor amounts to E= alco Why? Is the outcome valid near the edges of the plates? c) The width between the plates is d. The electric potential between them amounts to, V=Ed. Why? d) Suppose the surface area of each plate is S, and the intensity of the stored charge is q. Show that the capacitance C=q/V, can be expressed as C=Sco/d. e) The MKS unit for C'nin is Farad (Coulomb/Volt). Suppose C=lx10•1² Farad, and V=1Volt. How many electrons under the given circumstnaces are moved form one plate to the other? The electron charge intensity is e=1.6x10-19 Coulomb.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 1 a) Prove that, the electric field reigning in between the plates of a parallel plate capacitor, is constant. Hint: Show, via using Gauss Law that a uniformly charged infinite plane of surface density o, creates at any altitude above or below it, an electric field intensity E= a/2eo, written n MKS unit system. b) Despite this result, the electric field intensity between the plates of a capacitor amounts to E= alɛo Why? Is the outcome valid near the edges of the plates? c) The width between the plates is d. The electric potential between them amounts to, V=Ed. Why? d) Suppose the surface area of each plate is S, and the intensity of the stored charge is q. Show that the capacitance C=q/V, can be expressed as C=Sedd. e) The MKS unit for C'nin is Farad (Coulomb/Volt). Suppose C=Ix10-1² Farad, and V=1Volt. How many electrons under the given circumstnaces are moved form one plate to the other? The electron charge intensity is e=1.6x10-19 Coulomb.
Transcribed Image Text:Question 1 a) Prove that, the electric field reigning in between the plates of a parallel plate capacitor, is constant. Hint: Show, via using Gauss Law that a uniformly charged infinite plane of surface density o, creates at any altitude above or below it, an electric field intensity E= a/2eo, written n MKS unit system. b) Despite this result, the electric field intensity between the plates of a capacitor amounts to E= alɛo Why? Is the outcome valid near the edges of the plates? c) The width between the plates is d. The electric potential between them amounts to, V=Ed. Why? d) Suppose the surface area of each plate is S, and the intensity of the stored charge is q. Show that the capacitance C=q/V, can be expressed as C=Sedd. e) The MKS unit for C'nin is Farad (Coulomb/Volt). Suppose C=Ix10-1² Farad, and V=1Volt. How many electrons under the given circumstnaces are moved form one plate to the other? The electron charge intensity is e=1.6x10-19 Coulomb.
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