A parallel-plate air-filled capacitor having area 46 cm 2 and plate spacing 1.0
ID: 1725037 • Letter: A
Question
A parallel-plate air-filled capacitor having area 46 cm2 and plate spacing 1.0 mm is charged to a potential difference of900 V. Find the following values. (a) the capacitance1 pF
(b) the magnitude of the charge on each plate
2 nC
(c) the stored energy
3 µJ
(d) the electric field between the plates
4 V/m
(e) the energy density between the plates
5J/m3
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1 pF
(b) the magnitude of the charge on each plate
2 nC
(c) the stored energy
3 µJ
(d) the electric field between the plates
4 V/m
(e) the energy density between the plates
5J/m3
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Explanation / Answer
(a) the capacitance C =0A/d = 40.7 pF(b) the magnitude of the charge on each plate Q = CV = 36.6 nC
(c) the stored energy U = CV2/2 = 16.5 µJ
(d) the electric field between the plates E = V/d =9.0*105 V/m
(e) the energy density between the plates =0E2/2 = 3.59 J/m3
(b) the magnitude of the charge on each plate Q = CV = 36.6 nC
(c) the stored energy U = CV2/2 = 16.5 µJ
(d) the electric field between the plates E = V/d =9.0*105 V/m
(e) the energy density between the plates =0E2/2 = 3.59 J/m3