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AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
IntermediateMCQMathematical23.3k
Dielectric slabs in Configuration 1 and Configuration 2.
Dielectric slabs in Configuration 1 and Configuration 2.
An ideal parallel-plate capacitor with plate area \(A\) and separation \(d\) has vacuum capacitance \(C_0\). Two configurations are constructed using a dielectric slab of dielectric constant \(\kappa\):

* Configuration 1: The slab has thickness \(d\) and fills half of the plate area \(A/2\).
* Configuration 2: The slab has thickness \(d/2\) and fills the entire plate area \(A\).

In terms of \(\kappa\), what is the ratio \(\dfrac{C_1}{C_2}\) of the equivalent capacitance of Configuration 1 to that of Configuration 2?

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