Question #315627

the metal plates of capacitor a has an area of 1m^2 separated by a diatance of 0.002m. if a pyrex glass is inserted in between the plates, (a) what will be the change in capacitance? (b) how much energy was stored after insertion if it has a potential difference of 12v?


1
Expert's answer
2022-03-22T15:48:12-0400

Capacitance

C=Aϵ0dC=\frac{A\epsilon_0}{d}


C=1×8.85×10120.02=4.425×1010FC=\frac{1\times8.85\times10^{-12}}{0.02}=4.425\times10^{-10}F

(A) C=KAϵ0dC=\frac{KA\epsilon_0}{d}


C=4.6××8.85×10120.02=2.0355×109FC=\frac{4.6\times\times8.85\times10^{-12}}{0.02}=2.0355\times10^{-9}F

Change in capacitance


C=(20.3554.425)×1010=15.93×1010F∆C=(20.355-4.425)\times10^{-10}=15.93\times10^{-10}F

(B)

Energy

E=12CV2E=\frac{1}{2}CV^2

E=0.5×CV2E=0.5\times CV^2

E=0.5×2.0355×109×122E=0.5\times2.0355\times10^{-9}\times12^2

E=1.46×107JE=1.46\times10^{-7}J


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