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Problem #7: At t = 0 a current of 7 amperes flows in an RLC circuit with resistance 3 ohms, inductance 0.5 henrys, and capacitance 0.001 farads. The initial charge on the capacitor is 5 coulomb. Assume that the impressed voltage, provided by an alternating current generator, is E(t) = 10 cos(2r). (a) Find the charge in the circuit at time t = 4. (b) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit, and evaluate it at t = 104. (c) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit if at t = 0 a current of 10 amperes flowed in the RLC circuit, and the initial charge on the capacitor is 10 coulomb. Evaluate the function you obtain at t = 104.

Problem #7: At t = 0 a current of 7 amperes flows in an RLC circuit with resistance 3 ohms, inductance 0.5 henrys, and capacitance 0.001 farads. The initial charge on the capacitor is 5 coulomb. Assume that the impressed voltage, provided by an alternating current generator, is E(t) = 10 cos(2r). (a) Find the charge in the circuit at time t = 4. (b) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit, and evaluate it at t = 104. (c) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit if at t = 0 a current of 10 amperes flowed in the RLC circuit, and the initial charge on the capacitor is 10 coulomb. Evaluate the function you obtain at t = 104.

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Problem #7: At t = 0 a current of 7 amperes flows in an RLC circuit with resistance 3 ohms, inductance 0.5 henrys, and capacitance 0.001 farads. The initial charge on the capacitor is 5 coulomb. Assume that the impressed voltage, provided by an alternating current generator, is E(t) = 10 cos(2r). (a) Find the charge in the circuit at time t = 4. (b) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit, and evaluate it at t = 104. (c) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit if at t = 0 a current of 10 amperes flowed in the RLC circuit, and the initial charge on the capacitor is 10 coulomb. Evaluate the function you obtain at t = 104.
Transcribed Image Text:Problem #7: At t = 0 a current of 7 amperes flows in an RLC circuit with resistance 3 ohms, inductance 0.5 henrys, and capacitance 0.001 farads. The initial charge on the capacitor is 5 coulomb. Assume that the impressed voltage, provided by an alternating current generator, is E(t) = 10 cos(2r). (a) Find the charge in the circuit at time t = 4. (b) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit, and evaluate it at t = 104. (c) Find the amplitude-phase form of the steady state current in the RLC flowing in the circuit if at t = 0 a current of 10 amperes flowed in the RLC circuit, and the initial charge on the capacitor is 10 coulomb. Evaluate the function you obtain at t = 104.
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