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Capacitance with a Partial Dielectric
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A parallel-plate capacitor has plates with area A and separation d. It is connected to a battery that maintains a constant potential difference V. If a dielectric with constant κ is inserted to fill half the volume between the plates, what is the new capacitance?

A

C₀(1 + κ)/2

B

2κC₀/(κ+1)

C

C₀(1 + κ²)/2

D

κC₀/2

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