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Two Concentric Spheres Are Shown in the Figure

Question 958

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Two concentric spheres are shown in the figure.The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface.The outer sphere is a conducting shell that carries a net charge of -8.00 µC.No other charges are present.The radii shown in the figure have the values R1 = 10.0 cm,R2 = 20.0 cm,and R3 = 30.0 cm.(k = 1/4πε0 = 8.99 × 109 N • m2/C2)
(a)Find the total excess charge on the inner and outer surfaces of the conducting sphere.
(b)Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i)r = 9.5 cm,(ii)r = 15.0 cm,(iii)r = 27.0 cm,(iv)r = 35.0 cm. Two concentric spheres are shown in the figure.The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface.The outer sphere is a conducting shell that carries a net charge of -8.00 µC.No other charges are present.The radii shown in the figure have the values R<sub>1</sub> = 10.0 cm,R<sub>2</sub> = 20.0 cm,and R<sub>3</sub> = 30.0 cm.(k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N • m<sup>2</sup>/C<sup>2</sup>) (a)Find the total excess charge on the inner and outer surfaces of the conducting sphere. (b)Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i)r = 9.5 cm,(ii)r = 15.0 cm,(iii)r = 27.0 cm,(iv)r = 35.0 cm.

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(a)-5.00 µC (inner surface)
,-...

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