P1. (10 points) The LC circuit shown in Figure P1 is subjected to input voltage Vin...
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P1. (10 points) The LC circuit shown in Figure P1 is subjected to input voltage Vin that is suddenly applied at time, t = 0. The voltage v(t) satisfies the equation 1, a second order differential equation. LC d²v(t) dx² +v(t) = Vin Where: v(t) = the velocity at time t L = inductance = 100 mH C Vin Initial conditions: (1) = capacitance = 40 μF source voltage = 10.0 V (applied when t > 0) v(0) = 0 and (0) = 0 Determine the resulting equation for v(t). Clearly show all steps. L moooo Figure P1: The RC circuit for problem P1. The capacitance is 40 uF and the inductance is 100 mH. v(t) P1. (10 points) The LC circuit shown in Figure P1 is subjected to input voltage Vin that is suddenly applied at time, t = 0. The voltage v(t) satisfies the equation 1, a second order differential equation. LC d²v(t) dx² +v(t) = Vin Where: v(t) = the velocity at time t L = inductance = 100 mH C Vin Initial conditions: (1) = capacitance = 40 μF source voltage = 10.0 V (applied when t > 0) v(0) = 0 and (0) = 0 Determine the resulting equation for v(t). Clearly show all steps. L moooo Figure P1: The RC circuit for problem P1. The capacitance is 40 uF and the inductance is 100 mH. v(t)
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