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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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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