(Solved): Consider the RLC circuit as shown in the figure. Imagine the values of \( L, ...

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Consider the RLC circuit as shown in the figure. Imagine the values of \( L, C \), and \( R \) are chosen to give an over-damped response (similar to that in Figure 2 of the lab manual). Consider the slow-decay and fast-decay time constants for this circuit (refer to Equation 1 in the lab manual if necessary) and identify a rule of thumb about the settling time of the circuit, assuming that the voltage is measured across the resistor, \( V_{R} \) Hint: Settling time is the time that the circuit reaches very close to its steady-state value, where the transient response is almost vanished. Note: you may wish to use MATLAB or Excel to plot several test cases and determine which time constant most strongly determines the form of the overall response. A. The system's settling time is 1 to 2 times the fast-decay time constant B. The system's settling time is 4 to 5 times the fast-decay time constant C. The system's settling time is 1 to 2 times the slow-decay time constant D. The system's settling time is 4 to 5 times the slow-decay time constant