The dielectric in a capacitor has two objectives.?
Increases the capacity compared to a capacitor is identical to a gap, and increases maximum potential difference of the capacitor can withstand. If the electric field in a material is sufficiently strong, the material suddenly be able to drive the creation a spark. The critical field strength, where failure is 3.0 MV / m in the air, but 60 MV / m in buffer. A plate capacitor consists of two square plates 17 cm on one side, air space 0.60mmapart only among themselves. What is the maximum energy that can be stored by the capacitor? What is the maximum energy that can be stored if the plates are separated by a sheet of 0.60 mm thick Teflon?
0.6 mm is 0.6/1000 = 600 * 10 ^ -6 m area plate is 0.17 *. 17 = 28.9 * 10 ^ -3 m ^ 2 from the air: The tension of 0.60 mm can hold air dielectric is V = 3.0 * 10 ^ 6 * 600 * 10 ^ – 6 = The capacity is 1800 V: C = ε * A / D = 8.854 * 10 ^ -12 * 28.9 * 10 ^ -3/600 * 10 ^ -6 = 426 * 10 ^ -12 F Stored Energy = 426 pF in a capacitor is E = (2.1) * C * V ^ 2 = (1 / 2) * 426 * 10 ^ -12 * (1800) ^ 2 = 691 * 10 ^ -6 J Teflon: voltage V = 60 * 10 ^ 6 * 600 * 10 ^ -6 = 36 * 10 ^ 3 = 36 kV According to this reference, the relative dielectric constant of Teflon is 2.1, this number is multiplied ε "Free Space disk. The capacity is: C = ε * A / D = 2.1 * 8.854 * 10 ^ -12 * 28.9 * 10 ^ -3/600 * 10 ^ -6 = 896 * 10 ^ – 12 F = 896 pF would been easier note that the capacity is 2.1 times the air-dielectric case. The maximum stored energy is E = (01/02) * C * V ^ 2 = (1 / 2) * 896 * 10 ^ -12 * (36 * 10 ^ 3) ^ 2 = 580 * 10 ^ -3 J
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