A parallel-plate air-filled capacitor having area 46 cm 2 and plate spacing 1.0

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 capacitance
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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(a) the capacitance
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

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