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
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter18: Electric Charge And Electric Field
Section: Chapter Questions
Problem 38PE: Sketch the electric field lines in the vicinity of the conductor in Figure 18.49 given the field was...
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