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Electric Field in a Capacitor with Dielectric

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A parallel-plate capacitor with plate area A and separation d is charged to a total charge Q and then disconnected from the battery. A dielectric slab with a constant κ = 3 is then inserted, filling the entire plate area over half the separation distance. What is the magnitude of the electric field in the air-filled region of the capacitor?

A

Q/(ε₀A)

B

3Q/(2ε₀A)

C

2Q/(3ε₀A)

D

4Q/(3ε₀A)

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