Problem 5

A voltage of 1 V is applied to a pair of metal plates separated by 10 mm. The upper space (thickness d₁) between the plates is filled with a dielectric with relative permittivity of 1, 2.5-mm thick conductor layer, and the bottom space (thickness d₂)with a dielectric with relative permittivity of 2. (a) Given d₁-d₂-3.75 mm and &₁=1,&2 = 80. What is the maximum electric field in the system? Where does it occur? (b)Given d₁=5 mm, d₂=2.5 mm, and Ɛ₁ =1, &2= 1. What is the maximum electric field in the system? Where does it occur? (c) Given d₁-5 mm, d₂-2.5 mm, and ₁=1, &₂= 80.If the breakdown potential in air is 3 KV/mm and in the dielectric it is 20 KV/mm,what is the maximum voltage V allowed without occurrence of breakdown?