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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Transcribed Image Text:5. In the network shown below, the three capacitors \( C_1, C_2, \) and \( C_3 \) are identical air-filled capacitors, each with capacitance \( C \). A potential difference \( V_{ab} \) is applied between points \( a \) and \( b \).
**Diagram Description:**
- The diagram shows three capacitors, \( C_1 \), \( C_2 \), and \( C_3 \), arranged in parallel between two points, labeled \( a \) and \( b \).
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(a) Find the total potential energy \( U_i \) stored in this network.
(b) A dielectric with dielectric constant \( K = 3 \) is inserted between the plates of \( C_3 \), completely filling the space between them. The applied potential difference \( V_{ab} \) is held constant during this process. Find the total potential energy \( U_{ii} \) now stored in the network.
(c) The dielectric is removed from \( C_3 \) and is inserted between the plates of \( C_1 \). Again, the applied potential is held fixed during this process. Find the total potential energy \( U_{iii} \) now stored in the network.
(d) Rank the potential energies \( U_i, U_{ii}, \) and \( U_{iii} \) from largest to smallest.
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