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Item 1 Consider a parallel-plate capacitor which has air between the plates. It

ID: 1420797 • Letter: I

Question

Item 1

Consider a parallel-plate capacitor which has air between the plates. It initially has 7.68 J of energy stored in it, when the plates are separated by 3.60 mm .

Part A

If the separation is decreased to 1.85 mm , what is the energy now stored in it? Assume the capacitor was disconnected from the potential source before the separation of the plates was changed.

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Part B

Imagine instead that we had left the capacitor connected to the voltage (potential) source while the plate was moved. What would the amount of energy stored be then? (That is, after the plates are separated.)

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Item 1

Consider a parallel-plate capacitor which has air between the plates. It initially has 7.68 J of energy stored in it, when the plates are separated by 3.60 mm .

Part A

If the separation is decreased to 1.85 mm , what is the energy now stored in it? Assume the capacitor was disconnected from the potential source before the separation of the plates was changed.

U = J

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Part B

Imagine instead that we had left the capacitor connected to the voltage (potential) source while the plate was moved. What would the amount of energy stored be then? (That is, after the plates are separated.)

U = J

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Explanation / Answer

U1 =7.68 J, d1 =3.6 mm, d2 = 1.85 mm

(a) Voltage is constant

U = (1/2)CV^2

C= Aeo/d

U2/U1 =d2/d1

U2 = 7.68*(1.85/3.6)

U2 = 3.95 J

(b) charge is constant

U =Q^2/2C

U2/U1 = d1/d2

U2 = 7.68(1.85/3.6)

U2 = 14.945 J

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