Homework Solution: A Resistor, R is connected in series to a capacitor, C, an inductor, L, a switch, S, and a battery supplying an EMF, epsilon. At time, t =…

    A Resistor, R is connected in series to a capacitor, C, an inductor, L, a switch, S, and a battery supplying an EMF, E. At time, t = 0, the switch is closed, and current begins to flow. a. At what value of R (as a function of L and C) does the system behavior change? b. There are three regimes in which this system operates (underdamped, overdamped, and critically damped). Find the current as a function of time, I(t) for each case. In the underdamped case, how long will it take the current to reach half its initial value? c.
    A Resistor, R is connected in series to a capacitor, C, an inductor, L, a switch, S, and a battery supplying an EMF, epsilon. At time, t = 0, the switch is closed, and current begins to flow. a. At what value of R (as a function of L and C) does the system behavior change? b. There are three regimes in which this system operates (underdamped, overdamped, and critically damped). Find the current as a function of time, I(t), for each case. c. In the underdamped case, how long will it take the current to reach half its initial value?

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    A Resistor, R is united in succession to a capacitor, C, an inductor, L, a switch, S, and a battery supplying an EMF, E. At season, t = 0, the switch is reserved, and present begins to run. a. At what appreciate of R (as a office of L and C) does the method proceeding alter? b. There are three regimes in which this method operates (underdamped, overdamped, and critically damped). Find the present as a office of season, I(t) control each plight. In the underdamped plight, how desire get it admit the present to arrive-at half its primal appreciate? c.

    A Resistor, R is united in succession to a capacitor, C, an inductor, L, a switch, S, and a battery supplying an EMF, epsilon. At season, t = 0, the switch is reserved, and present begins to run. a. At what appreciate of R (as a office of L and C) does the method proceeding alter? b. There are three regimes in which this method operates (underdamped, overdamped, and critically damped). Find the present as a office of season, I(t), control each plight. c. In the underdamped plight, how desire get it admit the present to arrive-at half its primal appreciate?

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