Question

Homemade capacitors can be made from two back-to-back parallel pie pans, with a 0.50-mm-thick piece of construction paper filling the gap between them. Assume the pie pans are conducting circles of diameter 14.0 cm, and that the paper's dielectric constant is 3.7 and dielectric strength is 16 x 10 V/m a) What is the capacitance of one of these capacitors? b) What is the maximum energy stored by one of these capacitors before it discharges through the paper?

Answer 1

Solm pie bans & paper 0.5mma K 14com 14com Dielectric Dielectric constant of paper=3.7 strength = 16x100 v/m . (n) Capacitance (C) = KEDA A = Aurea of plate = T (14 x 10-2² = 1.54 x 10-2 m2 da distance b/w plates = 0.5810-3 m K=3.7 Eo= 8.85 *10-12 farad ſom ca 3.7 x 8.85 810-12 x 1.54x10-2 05X103 = 1.01810-9 F = 1.01 MF (6) Maximum voltage before it discharge through paper = 1.6x 106 x 0.5X10-3 = 800 V Emerg stored before discharge - I c Vinax 1 x 101x10^9 x 180012 = 3.23 x 104T