9. Kirchhoff's voltage law states that the sum of the voltage drops across a resistor, R,...

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9. Kirchhoff's voltage law states that the sum of the voltage drops across a resistor, R, an inductor, L, and a capacitor, C, in an electrical circuit must be the same as the voltage source, E (t), applied to that RLC circuit. Applying the additional fact that the current, I, is related to the charge, q, by the relationship I = a, the resulting ODE model for the charge in a circuit is: dt resistor, R, and a q'(0) = 0. L 130 d²q dq +R dt² dt 1 C If a 100 sin(60t)source is connected to an RLC circuit with a 20 henry inductor, L, a 1 ohm given that q(0) = 0 and 1(0) = farad capacitor, C, find the charge q (t) q= E (t). 9. Kirchhoff's voltage law states that the sum of the voltage drops across a resistor, R, an inductor, L, and a capacitor, C, in an electrical circuit must be the same as the voltage source, E (t), applied to that RLC circuit. Applying the additional fact that the current, I, is related to the charge, q, by the relationship I = a, the resulting ODE model for the charge in a circuit is: dt resistor, R, and a q'(0) = 0. L 130 d²q dq +R dt² dt 1 C If a 100 sin(60t)source is connected to an RLC circuit with a 20 henry inductor, L, a 1 ohm given that q(0) = 0 and 1(0) = farad capacitor, C, find the charge q (t) q= E (t).

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dq dq 1 R The given equation is dt dt C where Et100 sin 60t L120 R1 and C1130 We w... View the full answer