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

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.

Part A

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 .

Part C

Compare the two capacitors based on the energy stored.

Express your answer in terms of .

Part D

Compare the two capacitors based on the electric field magnitude between the plates.

Express your answer in terms of .

Part E

Compare the two capacitors based on the energy density.

Express your answer in terms of .

Explanation / Answer

a) C2/C1 = k [as C2 = k0A/d]

b) V2/V1 = 1/k [as V = Q/C]

c) U2/U1 = V2/V1 = 1/k [as U = 0.5*Q*V ]

d) E2/E1 = V2/V1 = 1/k [as E = V/d]

e) w2/w1 = k [as w = 0.5*k0*E^2 ]

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