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Consider a uniformly-charged sphere of radius 70 cm. The magnitude of the electric field outside of...

Consider a uniformly-charged sphere of radius 70 cm. The magnitude of the electric field outside of the sphere everywhere at a distance 10 cm from the sphere’s surface is 855 N/C, and points radially toward the center of the sphere.
a) Use Gauss’s law to find the net charge within the sphere’s surface. Draw a figure showing the necessary information, and indicate your solution steps.
b) Use Gauss’s law to find the electric field at a distance 35 cm from the center of the sphere. Draw a figure showing the necessary information, and indicate your solution steps.

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