A Parallel-Plate air-filled capacitor having area 33cm 2 and plate spacing 1.2mm

Question

A Parallel-Plate air-filled capacitor having area 33cm2 and plate spacing 1.2mm is charged to a potential difference of 690V. Find (a) the capacitance, (b) the magnitude of the charge on each plate, (c) the stored energy, (d) the electric field between the plates, (e) the energy density between the plates.

Chapter 25, Problem 032 Your answer is partially correct. Try again. A parallel-plate airfiaed capacitor having area 33 an and plate spadng 1.2 mm isdanged to a potentialdinerence of energy, (d) the electric field between the plates, (e) the energy densitybetween the plates. (a) (b) Number 1.73 (c) Number iso (d) Nul 575000 (e) N

Explanation / Answer

part a:

capacitance=epsilon*area/distance=8.85*10^(-12)*33*10^(-4)/(1.2*0.001)

=2.4337*10^(-11) F

part b:

magnitude of charge=capacitance*voltage=2.4337*10^(-11)*690

=1.6793*10^(-8) C

part c:

stored energy=0.5*capacitance*voltage^2

=0.5*2.4337*10^(-11)*690^2

=5.7934*10^(-6) J

part d:

electric field=potential difference/distance

=690/(1.2*0.001)

=575000 V/m

part e:

energy density=0.5*epsilon*electric field^2

=0.5*8.85*10^(-12)*(575000)^2

=1.463 J/m^3

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