A parallel-plate air-filled capacitor having area 59 cm 2 and plate spacing 4.0

Question

A parallel-plate air-filled capacitor having area 59 cm2 and plate spacing 4.0 mm is charged to a potential difference of700 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
5 J/m3
(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
5 J/m3

Explanation / Answer

Given that A parallel-plate air-filled capacitor having area (A) =59 cm2                                                                              =59*10-4m2 Separation between the plates is (d) = 4.0mm                                                        =0.004m The potential difference between the plates is (V)=700 V. The permitivity constant (0)=8.85*10-12F/m a) The capacitance (C) =0A/d b) Take the capacaitance from the part a The magnitude of each cahrge on the plate (Q) = CV c) The energy stored (E) = (1/2)CV2 d) The electric field between the plate is (E) =V/d e) Take the E value from the part (d) The energy density between the plates is (u) =(1/2)0E2 Now substitute all the above values you get the requiredanswer

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