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Solving Differential Equations : Current and Charge in the Series RLC Circuit

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13. A series circuit consists of a resistor with R = 20 ohm, an inductor with L = 1 H, a capacitor with C = 0.002 F, and a 12-V battery. If the initial charge and current are both 0, find the charge and current at time t.
14. A series circuit contains a resistor with R = 24 ohm an inductor with L = 2 H, a capacitor with C = 0.005 F, and a 12-V battery. The initial charge is Q = 0.001 C and the initial current is 0.
(a) Find the charge and current at time z.
(b) Graph the charge and current functions.

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The solution solves differential equations is applied to current and charge in the series RLC circuit.

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