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Consider a capacitor C with an initial charge qo. At time t = 0, the switch S is closed and the capacitor begins to discharge through resistor R. C= R a) How does the total energy dissipated in the resistor relate to the total energy initially stored in the capacitor? Explain. b) Derive an expression for the energy stored in the capacitor as a function of time. Express your answer in terms of qo, C, R, and t. Four uncharged capacitors with equal capacitances are combined in parallel. The combination is connected to a 6.09-V battery, which charges the capacitors. The charging process involves 2.37 × 10* C of charge moving through the battery. Find the capacitance of each capacitor.
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Transcribed Image Text:Consider a capacitor C with an initial charge qo. At time t = 0, the switch S is closed and the capacitor begins to discharge through resistor R. C= R a) How does the total energy dissipated in the resistor relate to the total energy initially stored in the capacitor? Explain. b) Derive an expression for the energy stored in the capacitor as a function of time. Express your answer in terms of qo, C, R, and t. Four uncharged capacitors with equal capacitances are combined in parallel. The combination is connected to a 6.09-V battery, which charges the capacitors. The charging process involves 2.37 × 10* C of charge moving through the battery. Find the capacitance of each capacitor.
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