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Consider the composite conductor shown in the figure. The cylinder with radius a = 0.01 m is divided into two halves with one half having a conductivity = 4.2 x 10' S/m and the other half having conductivity o, - 1.1x 10' S/m. The length in the z-direction is L = 1.0 km. a) If the potential at z = 0 is 6.0 V and the potential at z = L is 0.0 V, assuming uniform fields, calculate the z-directed E-field. b) Calculate the current density within conductor ac. Write in vector form. c) Calculate the current in conductor as L d) Calculate the total resistance of the composite conductor. E= Of J₁=. R= 0₂

Consider the composite conductor shown in the figure. The cylinder with radius a = 0.01 m is divided into two halves with one half having a conductivity = 4.2 x 10' S/m and the other half having conductivity o, - 1.1x 10' S/m. The length in the z-direction is L = 1.0 km. a) If the potential at z = 0 is 6.0 V and the potential at z = L is 0.0 V, assuming uniform fields, calculate the z-directed E-field. b) Calculate the current density within conductor ac. Write in vector form. c) Calculate the current in conductor as L d) Calculate the total resistance of the composite conductor. E= Of J₁=. R= 0₂

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Consider the composite conductor shown in the figure. The cylinder with radius a = 0.01 m is divided into two halves with one half having a conductivity o. = 4.2 x 10² S/m and the other half having conductivity o, 1.1x 10' S/m. The length in the z-direction is L = 1.0 km. a) If the potential at z = 0 is 6.0 V and the potential at z = L is 0.0 V, assuming uniform fields, calculate the z-directed E-field. b) Calculate the current density within conductor c. Write in vector form. c) Calculate the current in conductor σs. L d) Calculate the total resistance of the composite conductor. E= Of J₁ = I₁ = R = A O₂
Transcribed Image Text:Consider the composite conductor shown in the figure. The cylinder with radius a = 0.01 m is divided into two halves with one half having a conductivity o. = 4.2 x 10² S/m and the other half having conductivity o, 1.1x 10' S/m. The length in the z-direction is L = 1.0 km. a) If the potential at z = 0 is 6.0 V and the potential at z = L is 0.0 V, assuming uniform fields, calculate the z-directed E-field. b) Calculate the current density within conductor c. Write in vector form. c) Calculate the current in conductor σs. L d) Calculate the total resistance of the composite conductor. E= Of J₁ = I₁ = R = A O₂
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