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1. (Difficulty: **) Two identical air-filled parallel-plate capacitors C₁ and C₂, each with capacitance C, are connected in series to a battery that has voltage V. While the two capacitors remain connected to the battery, a dielectric with dielectric constant K > 1 is inserted between the plates of one of the capacitors, completely filling the space between them. Let Uo be the total energy stored in the two capacitors without the dielectric and U be the total energy stored after the dielectric is inserted. (a) In terms of k, what is the ratio U/Uo? (b) Does the total stored energy increase, decrease, or stay the same after the dielectric is inserted? (c) Suppose that we disconnect the battery before we insert the dielectric, what is the new value of the ratio of the energies Uafter/Ubefore in this case?

          1. (Difficulty: **) Two identical air-filled parallel-plate capacitors C₁ and C₂, each with capacitance C, are connected
in series to a battery that has voltage V. While the two capacitors remain connected to the battery, a dielectric
with dielectric constant K > 1 is inserted between the plates of one of the capacitors, completely filling the
space between them. Let Uo be the total energy stored in the two capacitors without the dielectric and U be the
total energy stored after the dielectric is inserted.
(a) In terms of k, what is the ratio U/Uo?
(b) Does the total stored energy increase, decrease, or stay the same after the dielectric is inserted?
(c) Suppose that we disconnect the battery before we insert the dielectric, what is the new value of the
ratio of the energies Uafter/Ubefore in this case?

1 difficulty two identical air filled parallel plate capacitors c1 and c2 each with capacitance c are connected in series to a battery that has voltage v while the two capacitors remain conn 39904

Added by Dominic I.

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