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How to evaluate the damping responses by the use of damping factor ' α ' and resonant frequency ' ω0 ' for a source free RLC in serious circuit.

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Final answer:

The damping responses in an RLC series circuit can be evaluated using the damping factor and resonant frequency.

Step-by-step explanation:

In an RLC series circuit, the damping responses can be evaluated using the damping factor (α) and resonant frequency (ω0). The damping factor (α) quantifies the rate at which the oscillations in the circuit decay over time. It is related to the resistance (R) in the circuit. A higher damping factor indicates faster decay of oscillations. The resonant frequency (ω0) is the natural frequency at which the circuit would oscillate without any external driving force. It is determined by the values of inductance (L) and capacitance (C) in the circuit.

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