A solid conducting sphere of radius 2.00 cm has a charge of 8.84 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge of - 2.02 μC. Find the electric field at the following radii from the center of this charge configuration.

Question

Physics

Braedon Whitehead

5 December, 17:58

A solid conducting sphere of radius 2.00 cm has a charge of 8.84 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge of - 2.02 μC. Find the electric field at the following radii from the center of this charge configuration.

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Answers (1)

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Cesar Browning · Answer 1

Answer: The electric field is given in three regions well defined; 0
Explanation: In order to solve this problem we have to use the gaussian law in the mentioned regions.

Region 1; 0
∫E. ds=Qinside the gaussian surface/ε0

inside of the solid conducting sphere the elevctric field is zero because the charge is located at the surface on this sphere.

Region 2; 2
E. 4*π*r^2=8,84/ε0

E=8,84 / (4*π*ε0*r^2)

Region 3; 4
E=0 because is inside the conductor.

Finally

Region 4; r>5

E. 4*π*r^2 = (8,84-2.02) / ε0