The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.70 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 12.5R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.61 × 10-¹2 C; that on the shell is Q₂ = -2.23Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r=2.32R₂? What are (c) E and (d) the direction at r= 5.13R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number (b) (c) Number Units Units
The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.70 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 12.5R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.61 × 10-¹2 C; that on the shell is Q₂ = -2.23Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r=2.32R₂? What are (c) E and (d) the direction at r= 5.13R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number (b) (c) Number Units Units
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Transcribed Image Text:The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.70 m inside a thin-walled coaxial conducting
cylindrical shell of radius R₂ = 12.5R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.61 × 10-12 C; that on the shell is Q₂ =
-2.23Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.32R₂?
What are (c) E and (d) the direction at r= 5.13R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?
(a) Number i
(b)
(c) Number i
(d)
(e) Number
(f) Number
Units
Units
Units
Units
R₂
R₁
Q₂
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Step 1: Know the concept:
VIEWStep 2: Draw a diagram of the problem:
VIEWStep 3: (a) Obtain the expression for the electric field at point r>R2::
VIEWStep 4: (a) Calculate the magnitude of the electric field at radial distance r=2.32R2
VIEWStep 5: (b) Find the direction of the net electric field at radial distance r=2.32R2:
VIEWStep 6: (c) Obtain the expression for the electric field at point R_1<r<R2:
VIEWStep 7: (c) Calculate the magnitude of the electric field at radial distance r=5.13R1:
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