In a three layered, cylindrical electrode system, 100 kV is applied to the inner conductor while the outer conductor is grounded. Radii of cylinders in this system are: r1 =1 cm, r2 =1.5 cm, r3 =3 cm, and R =5 cm. Relative dielectric constants of layers are r1 = 5, r2 = 3 and r3 = 2.5 respectively; a) Calculate maximum and minimum field strengths across each layer. b) If R=5 cm and r3 =4.5 cm, for uniformly stress condition find the new values of r1 and r2 and the thickness of each layer.

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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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In a three layered, cylindrical electrode system, 100 kV is applied to the inner conductor
while the outer conductor is grounded. Radii of cylinders in this system are: r1 =1 cm, r2 =1.5
cm, r3 =3 cm, and R =5 cm. Relative dielectric constants of layers are r1 = 5, r2 = 3 and r3 =
2.5 respectively;
a) Calculate maximum and minimum field strengths across each layer.
b) If R=5 cm and r3 =4.5 cm, for uniformly stress condition find the new values of r1 and r2
and the thickness of each layer.

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