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With respect to an RLC circuit, the critical resistance is the resistance which would critically dampen the circuit. This means a resistance lower than the critical resistance would create an under-damped situation, and higher than the critical resistance would create an over-damped situation. An underdamped circuit will ocillate, an overdamped circuit will decay exponentially over a long period of time. The critically damped circuit will immediately decay to zero (time dependent on the values of the circuit elements)

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