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6.3E: The RLC Circuit (Exercises)

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    In Exercises 1-5 find the current in the \(RLC\) circuit, assuming that \(E(t)=0\) for \(t>0\).

    1. \(R=3\) ohms;   \(L=.1\) henrys;   \(C=.01\) farads; \(Q_0=0\) coulombs;  \(I_0=2\) amperes.

    2. \(R=2\) ohms;   \(L=.05\) henrys;   \(C=.01\) farads’; \(Q_0=2\) coulombs;  \(I_0=-2\) amperes.

    3. \(R=2\) ohms;   \(L=.1\) henrys;   \(C=.01\) farads; \(Q_0=2\) coulombs;  \(I_0=0\) amperes.

    4. \(R=6\) ohms;   \(L=.1\) henrys;   \(C=.004\) farads’; \(Q_0=3\) coulombs;  \(I_0=-10\) amperes.

    5. \(R=4\) ohms;   \(L=.05\) henrys;   \(C=.008\) farads; \(Q_0=-1\) coulombs;  \(I_0=2\) amperes.

    In Exercises 6-10 find the steady state current in the circuit described by the equation.

    6. \({1\over10}Q''+3Q'+100Q=5\cos10t-5\sin10t\)

    7. \({1\over20}Q''+2Q'+100Q=10\cos25t-5\sin25t\)

    8. \({1\over10}Q''+2Q'+100Q=3\cos50t-6\sin50t\)

    9. \({1\over10}Q''+6Q'+250Q=10\cos100t+30\sin100t\)

    10. \({1\over20}Q''+4Q'+125Q=15\cos30t-30\sin30t\)

    This page titled 6.3E: The RLC Circuit (Exercises) was last modified on Wed, 05 Oct 2022 23:00:12 GMT and is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench via source content that was edited to the style and standards of the LibreTexts platform.