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How much power is delivered to a circuit by a battery?
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[QUOTE="squelch, post: 4896871, member: 508873"] I haven't learned differential equations yet, however, I think I may have one solution: Can it be said that: The energy contributed to the circuit from t = 0->infinity is the total energy contributed at time infinity minus the total energy at time zero. Since the energy contributed by this particular circuit at time zero is zero, the total energy contributed is the sum of the energy stored in the capacitor at time infinity and the power dissipated by a resistor. At time infinity, the energy stored in a capacitor is given by [itex]U = \frac{1}{2}C{V^2}[/itex] The energy dissipated by the resistor is [itex]W=\frac{V^2}{R}[/itex] Therefore, the total energy given by the battery is given by: [tex]W = \frac{{{\varepsilon ^2}}}{R} + \frac{{C{\varepsilon ^2}}}{2} = \frac{{{\varepsilon ^2}}}{{2R}}(2 + CR)[/tex] [/QUOTE]
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How much power is delivered to a circuit by a battery?
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