Consider an RLC circuit with resistance 5 ohms, inductance 0.05 henrys, capacitance 0.006 farads, and an impressed voltage, provided by an alternating current generator, of 10 sin(25t). At t = 0 the charge is 5 coulomb and the current is 1 amps. E(t) = a. Complete the ODE below in terms of the charge in the circuit Q(t) Q''+ Q' + Q b. Solve the ODE and complete the equation for the charge Q(t) = =

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Consider an RLC circuit with resistance 5 ohms, inductance
0.05 henrys, capacitance 0.006 farads, and an impressed
voltage, provided by an alternating current generator, of
E(t)
=
10 sin(25t). At t = 0 the charge is 5 coulomb and
the current is 1 amps.
a. Complete the ODE below in terms of the charge in the
circuit Q(t)
Q''+
Q' +
Q
b. Solve the ODE and complete the equation for the charge
Q(t) =
=
Transcribed Image Text:Consider an RLC circuit with resistance 5 ohms, inductance 0.05 henrys, capacitance 0.006 farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 10 sin(25t). At t = 0 the charge is 5 coulomb and the current is 1 amps. a. Complete the ODE below in terms of the charge in the circuit Q(t) Q''+ Q' + Q b. Solve the ODE and complete the equation for the charge Q(t) = =
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