Consider an RLC circuit with resistance 2 ohms, inductance 0.05 henrys, capacitance 0.006 farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 5 sin(25t). At t = 0 the charge is 1 coulomb and the current is 1 amps. a. Complete the ODE below in terms of the charge in the circuit Q(t) Q" ] Q² + [ Q' Q = b. Solve the ODE and complete the equation for the charge Q(t) =
Consider an RLC circuit with resistance 2 ohms, inductance 0.05 henrys, capacitance 0.006 farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 5 sin(25t). At t = 0 the charge is 1 coulomb and the current is 1 amps. a. Complete the ODE below in terms of the charge in the circuit Q(t) Q" ] Q² + [ Q' Q = b. Solve the ODE and complete the equation for the charge Q(t) =
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Transcribed Image Text:Consider an RLC circuit with resistance 2 ohms, inductance 0.05 henrys, capacitance 0.006 farads, and an
impressed voltage, provided by an alternating current generator, of E(t) = 5 sin(25t). At t = 0 the
charge is 1 coulomb and the current is 1 amps.
a. Complete the ODE below in terms of the charge in the circuit Q(t)
Q'-
| Q ={
b. Solve the ODE and complete the equation for the charge Q(t)
=
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