Pt. 2 (a) A parallel-plate capacitor, having plate area of 4.0 m2 and are separa

Question

Pt. 2 (a) A parallel-plate capacitor, having plate area of 4.0 m2 and are separated by d mm, s initially across a 100-V battery. When the capacitor is fully charged, find the: (i) Capacitance; (i) Charge on the capacitor; (ii) Electric field strength; and (iv) Electrostatic energy stored in the capacitor. [(i) 8.85 nF; (ii) 0.885 C; (iii) 25 kV/m; (iv) 44.3 3. 4.0 (b) After this capacitor above has been fully charged, the battery is disconnected. A dielectric stack of paper (x 3.7) is carefully inserted between the capacitor plates so that

Explanation / Answer

3)

a)

C = Aeo / d

C = (4 x 8.85 x 10^-12) / (4 x 10^-3)

C = 8.85 x 10^-9 F = 8.85 nm

b)

q = CV

q = 8.85 x 10^-9 x 100

q = 8.85 x 10^-7 C = 0.885 uC

c)

E = v/d = 100 V / (4 x 10^-3)

E = 25 x 10^3 V/m

E = 25 kV/m

d)

E = 1/2CV^2

E = 1/2 x (8.85 x 10^-9) x 100^2

E = 44.25 x 10^-6 J = 44.3 uJ

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