A point charge of -3 microCoulombs is located at the center of a spherical cavity of radius 6.5 cm that is at the center of an insulating charged solid sphere. The charge density in the solid is 7.35 x 10-4 C/m3. What is the electric field inside the sphere at a distance of 9.5 cm from the center of the cavity? Hint: The electric field at that distance from the center is due to 2 sources.  One source is the charged point particle at the center of the cavity.  The second source is the amount of charge on the solid enclosed by a spherical, Gaussian surface of the given radius.  In order to use Gauss' Law, develop an equation for the volume of a spherical shell out to the given radius.

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
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A point charge of -3 microCoulombs is located at the center of a spherical cavity of radius 6.5 cm that is at the center of an insulating charged solid sphere. The charge density in the solid is 7.35 x 10-4 C/m3. What is the electric field inside the sphere at a distance of 9.5 cm from the center of the cavity?

Hint: The electric field at that distance from the center is due to 2 sources.  One source is the charged point particle at the center of the cavity.  The second source is the amount of charge on the solid enclosed by a spherical, Gaussian surface of the given radius.  In order to use Gauss' Law, develop an equation for the volume of a spherical shell out to the given radius.

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