A parallel-plate air-filled capacitor having area 38 cm 2 and plate spacing 1.0

Question

A parallel-plate air-filled capacitor having area 38 cm2 and plate spacing 1.0 mm is charged to a potential difference of700 V. Find the following values. (a) the capacitance
Enter anumber. 1 pF
(b) the magnitude of the charge on each plate
Enter anumber. 2 nC
(c) the stored energy
Enter anumber. 3 µJ
(d) the electric field between the plates
Enter anumber. 4 V/m
(e) the energy density between the plates
Enter anumber. 5 J/m3 (a) the capacitance
Enter anumber. 1 pF
(b) the magnitude of the charge on each plate
Enter anumber. 2 nC
(c) the stored energy
Enter anumber. 3 µJ
(d) the electric field between the plates
Enter anumber. 4 V/m
(e) the energy density between the plates
Enter anumber. 5 J/m3 Enter anumber. Enter anumber. Enter anumber. Enter anumber. Enter anumber.

Explanation / Answer

a) The capacitance of the parallel plate capacitanceis              C = Ao/d Here A = 38*10-4m2           o=8.85*10-12C2/N.m2                      d = 1.0*10-3m b) The magnitude of the charge on each plate is              q = CV Here V = 700 V c) The energy stored in the capacitor is              U = (1/2)CV2 d) The electric field between the plates is             E =V/d e) The energy denstiy between the plates is              U = oE2/2 Substitute the values. d) The electric field between the plates is             E =V/d e) The energy denstiy between the plates is              U = oE2/2 Substitute the values.

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