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If the roots of an equation are real and equal, then the response will be?

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If the roots of an equation are real and equal, then the response will be?

(a) over damped

(b) damped

(c) critically damped

(d) under damped

I got this question during an interview.

Asked question is from DC Response of an R-L-C Circuit topic in chapter Transients of Network Theory

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Correct choice is (c) critically damped

The explanation: If the roots of an equation are real and equal, then the response will be critically damped response. For a critically damped system, the system returns to equilibrium as quickly as possible without oscillating.

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