Q3) In a three-layered dielectric concentric spheres, the radii of the spheres are: r = 1 cm, r2 = 2 cm, r3 = 3 cm, r4 = 4 cm, and the relative dielectric constants of the layers are ε1 = 3, ε2 = 2, ε3 = 1. The applied voltage is 150 kV, and the breakdown strengths of the layers are Eb1 = 100 kV/cm, Eb2 = 55 kV/cm, and Eb3 = 45 kV/cm respectively;
a) Calculate the voltages across each layer. (10 P)
b) Determine whether the system can withstand this applied voltage. (3 P)
c) Specify the type of discharge in any layer. (7 P)