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Once again, outside the sphere both the electric field and the electric potential are identical to the field and potential from a point charge. What happens inside the sphere? Now the potential is not constant because there is a field inside the sphere. Using Gauss' Law we showed that the field inside a uniformly charged insulator is:

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The total charge on the conductor must remain zero, so a charge must appear+q q-q E A, S 0 q. q E S 0 A Example 22.10 Charge on a hollow sphere A thin-walled, hollow sphere of radius 0.250 m has an unknown charge distributed uniformly over its surface. At a distance of 0.300 m from the center of the sphere, the electric ﬁeld points radi-

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decreases inversely with r2, between the center and the surface of a uniformly charged solid sphere. Determine the Concept We can show that the charge inside a uniformly charged solid sphere of radius r is proportional to r3 and that the area of a sphere is proportional to r2. Using Gauss’s law, it follows that the electric field must be

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The following figure gives the formula for the volume of sphere. Scroll down the page for examples and solutions. How to use the formula to calculate the volume of a sphere? Example: Find the volume of a sphere with a diameter of 14 cm. Show Step-by-step Solutions.