Dry air will break down if the electric field exceeds

piarepm

piarepm

Answered question

2022-01-15

Dry air will break down if the electric field exceeds about 3.0×106Vm
Part A
What amount of charge can be placed on a capacitor if the area of each plate is 8.6cm2 ?
Express your answer using two significant figures.
I want the answer in nC

Answer & Explanation

Bukvald5z

Bukvald5z

Beginner2022-01-19Added 33 answers

electric field E=QmaxAe0
A=area of cross section of plate=6.9104m2
e0=8.851012NC2m2
Qmax=EAe0
Qmax=31066.91048.851012
Qmax=18nC

RizerMix

RizerMix

Expert2022-01-20Added 656 answers

The charge of the capacitor is, Q=CV (ξ0A)/d(Ed) =ξ0EA The amount of charge can be placed on a capacitor is, Q=ξ0EA =(8.85×10(12) (Nm2)/C2)(3×106 V/m)(8.6×10(4) m2) =22.83×10(9) C =22.83nC
alenahelenash

alenahelenash

Expert2022-01-23Added 556 answers

C=ξA/d Where ξ is the permittivity of free-space, A is the plate area, and d is the distance separating the plates. The maximum voltage can be calculated: V(max)=3106d Q = C*VQ=(ξA/d)3106d The d cancels: Q=ξA3106=8.85410(12)(68/104)3106=18110(9) C

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