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20 113 Consider an RLC circuit wired in series with resistance 0.8 ohms, inductance 0.05 henrys, capacitance farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 0.75 sin(2t). At t = 0 the charge is 1 coulomb and the current is 5 amps. a. Write a differential equation in terms of the charge in the circuit q(t). This program cannot accept prime notation for responses, so use the variables q = g(t), r = q' (t), and s = q'' (t). State the initial conditions: g(0) = = q'(0) = b. Solve the ODE and complete the equation for the charge. Round the coefficients to three decimal places: q(t) c. State the steady-state current in the circuit.

20 113 Consider an RLC circuit wired in series with resistance 0.8 ohms, inductance 0.05 henrys, capacitance farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 0.75 sin(2t). At t = 0 the charge is 1 coulomb and the current is 5 amps. a. Write a differential equation in terms of the charge in the circuit q(t). This program cannot accept prime notation for responses, so use the variables q = g(t), r = q' (t), and s = q'' (t). State the initial conditions: g(0) = = q'(0) = b. Solve the ODE and complete the equation for the charge. Round the coefficients to three decimal places: q(t) c. State the steady-state current in the circuit.

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20 113 Consider an RLC circuit wired in series with resistance 0.8 ohms, inductance 0.05 henrys, capacitance farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 0.75 sin(2t). At t = 0 the charge is 1 coulomb and the current is 5 amps. a. Write a differential equation in terms of the charge in the circuit q(t). This program cannot accept prime notation for responses, so use the variables q = g(t), r = q' (t), and s = q'' (t). State the initial conditions: g(0) q'(0) b. Solve the ODE and complete the equation for the charge. Round the coefficients to three decimal places: q(t) = = c. State the steady-state current in the circuit.
Transcribed Image Text:20 113 Consider an RLC circuit wired in series with resistance 0.8 ohms, inductance 0.05 henrys, capacitance farads, and an impressed voltage, provided by an alternating current generator, of E(t) = 0.75 sin(2t). At t = 0 the charge is 1 coulomb and the current is 5 amps. a. Write a differential equation in terms of the charge in the circuit q(t). This program cannot accept prime notation for responses, so use the variables q = g(t), r = q' (t), and s = q'' (t). State the initial conditions: g(0) q'(0) b. Solve the ODE and complete the equation for the charge. Round the coefficients to three decimal places: q(t) = = c. State the steady-state current in the circuit.
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