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.

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Chapter1: Units, Trigonometry. And Vectors
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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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