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Two parallel-plate capacitors are identical except that capacitor 1 has vacuum b

ID: 1425632 • Letter: T

Question

Two parallel-plate capacitors are identical except that capacitor 1 has vacuum between the plates and capacitor 2 has a dielectric slab of dielectric constant filling the space between the plates. Each capacitor is isolated (that is, not connected to a battery), and they store equal quantities of charge. Compare the two capacitors based on the capacitance. Express your answer in terms of .

Part B

Compare the two capacitors based on the potential difference between the plates.

Express your answer in terms of .

Explanation / Answer

As we know Q=CV

Q is same here

V = Q/C

means V is inversaly proportional to C. As C increases V decreses.

As we place dielectric C is increase by "k" because C = Eo A / d and after placing dielectric C' = k Eo A/d = k*C

V = Q/C

V' = Q/k*C = V / k

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