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Example two concentric annular rings are painted on a sheet of conducting paper with a highly conducting metal paint. The four radii are 1, 1.2. 3.5. and 3.7 cm. Connections made to the two rings show a resistance of 215 ohms between them. a) What is R, for the conducting paper? Using the two radii (1.2 and 3.5 cm) at which the rings are at their closest separation, we first evaluate the capacitance: = 5.19 x 10-11 F Σπέρν In(3.5/1.2) wherer is the unknown paper coating thickness. Now use 8.85 x 10-12 5.19 x 10-11at Thus C RC== o R, a Rs = of ⇒R = (51.9) (215) 8.85 = 215 b) If the conductivity of the material used as the surface of the paper is 2 S/m, what is the thickness of the coating? We use 1 2 x 1.26 x 10³ 1.26k/sq = 3.97 x 10 m = 0.397 mm

Example two concentric annular rings are painted on a sheet of conducting paper with a highly conducting metal paint. The four radii are 1, 1.2. 3.5. and 3.7 cm. Connections made to the two rings show a resistance of 215 ohms between them. a) What is R, for the conducting paper? Using the two radii (1.2 and 3.5 cm) at which the rings are at their closest separation, we first evaluate the capacitance: = 5.19 x 10-11 F Σπέρν In(3.5/1.2) wherer is the unknown paper coating thickness. Now use 8.85 x 10-12 5.19 x 10-11at Thus C RC== o R, a Rs = of ⇒R = (51.9) (215) 8.85 = 215 b) If the conductivity of the material used as the surface of the paper is 2 S/m, what is the thickness of the coating? We use 1 2 x 1.26 x 10³ 1.26k/sq = 3.97 x 10 m = 0.397 mm

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Example two concentric annular rings are painted on a sheet of conducting paper with a highly conducting metal paint. The four radii are 1, 1.2, 3.5. and 3.7 cm. Connections made to the two rings show a resistance of 215 ohms between them. a) What is R, for the conducting paper? Using the two radii (1.2 and 3.5 cm) at which the rings are at their closest separation, we first evaluate the capacitance: = 5.19 x 10-11 F 27601 C = In (3.5/1.2) where is the unknown paper coating thickness. Now use 8.85 x 10-12 5.19 x 10-1101 Thus RC = 1= σ R₁ €0 O ⇒R= 1 Rs = = of = 1.26k2/sq b) If the conductivity of the material used as the surface of the paper is 2 S/m, what is the thickness of the coating? We use (51.9) (215) 8.85 1 2 x 1.26 x 10³ <= 215 = = 3.97 x 10 m = 0.397 mm
Transcribed Image Text:Example two concentric annular rings are painted on a sheet of conducting paper with a highly conducting metal paint. The four radii are 1, 1.2, 3.5. and 3.7 cm. Connections made to the two rings show a resistance of 215 ohms between them. a) What is R, for the conducting paper? Using the two radii (1.2 and 3.5 cm) at which the rings are at their closest separation, we first evaluate the capacitance: = 5.19 x 10-11 F 27601 C = In (3.5/1.2) where is the unknown paper coating thickness. Now use 8.85 x 10-12 5.19 x 10-1101 Thus RC = 1= σ R₁ €0 O ⇒R= 1 Rs = = of = 1.26k2/sq b) If the conductivity of the material used as the surface of the paper is 2 S/m, what is the thickness of the coating? We use (51.9) (215) 8.85 1 2 x 1.26 x 10³ <= 215 = = 3.97 x 10 m = 0.397 mm
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