5. In the network shown below, the three capacitors C₁, C₂, and C3 are identical air-filled capacitors, each with capacitance C. A potential difference Vab is applied between points a and b. C₁ (a) Find the total potential energy U, stored in this network. (b) A dielectric with dielectric constant K = 3 is inserted between the plates of C3, completely filling the space between them. The applied potential difference Vab is held constant during this process. Find the total potential energy U now stored in the network. (c) The dielectric is removed from C3 and is inserted between the plates of C₁. Again, the applied potential is held fixed during this process. Find the total potential energy U now stored in the network. (d) Rank the potential energies U₁, U, and U from largest to smallest.
5. In the network shown below, the three capacitors C₁, C₂, and C3 are identical air-filled capacitors, each with capacitance C. A potential difference Vab is applied between points a and b. C₁ (a) Find the total potential energy U, stored in this network. (b) A dielectric with dielectric constant K = 3 is inserted between the plates of C3, completely filling the space between them. The applied potential difference Vab is held constant during this process. Find the total potential energy U now stored in the network. (c) The dielectric is removed from C3 and is inserted between the plates of C₁. Again, the applied potential is held fixed during this process. Find the total potential energy U now stored in the network. (d) Rank the potential energies U₁, U, and U from largest to smallest.
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