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A capacitor is charged up by a battery, and then the battery is disconnected. What happens...

A capacitor is charged up by a battery, and then the battery is disconnected. What happens if a dielectric (with constant κ) is then inserted between the plates? Consider the following statements.

I. the electric field magnitude decreases by a factor of κ

II. the capacitance decreases by a factor of κ

III. the energy stored in the capacitor remains constant

Which of the three statements is/are true?

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