A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r₁ and r2, respectively. A second thin spherical conducting shell of inner and oute radii R₁ and R₂, respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement. = -12.6 x 10³ Nm²/C for r < r₁ = 0 for r₁ R₂ Determine the magnitude and sign of the point charge and the charge on the surface of the two shells.

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Chapter19: Electric Forces And Electric Fields
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A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r₁ and r2, respectively. A second thin spherical conducting shell of inner and outer
radii R₁ and R₂, respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement.
Ⓒ = -12.6 X 10³ Nm²/C for r < r₁
= 0 for r₁ <r<r₂
= 26.5 X 10³ N·m²/C for r₂ <r < R₁
= 0 for R₁ <r < R₂
= -26.5 X 10³ Nm²/C for r > R₂
Determine the magnitude and sign of the point charge and the charge on the surface of the two shells.
point
X
charge
What is the flux due to the point charge in the region inside the inner shell? How is this flux related to the charge inside the spherical shell? µC
inner shell
outer shell
X
What is the total flux r₂ <r < R₁? What is the net charge corresponding to this flux? How much of this net charge corresponds to the charge on the surface of the
inner shell? µC
X
What is the total flux r > R₂? What is the net charge corresponding to this flux? How much of this net charge corresponds to the charge on the surface of the outer
shell? µC
Transcribed Image Text:A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r₁ and r2, respectively. A second thin spherical conducting shell of inner and outer radii R₁ and R₂, respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement. Ⓒ = -12.6 X 10³ Nm²/C for r < r₁ = 0 for r₁ <r<r₂ = 26.5 X 10³ N·m²/C for r₂ <r < R₁ = 0 for R₁ <r < R₂ = -26.5 X 10³ Nm²/C for r > R₂ Determine the magnitude and sign of the point charge and the charge on the surface of the two shells. point X charge What is the flux due to the point charge in the region inside the inner shell? How is this flux related to the charge inside the spherical shell? µC inner shell outer shell X What is the total flux r₂ <r < R₁? What is the net charge corresponding to this flux? How much of this net charge corresponds to the charge on the surface of the inner shell? µC X What is the total flux r > R₂? What is the net charge corresponding to this flux? How much of this net charge corresponds to the charge on the surface of the outer shell? µC
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