Capacitance with a Partial Dielectric
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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