Question

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

(a) critically damped

(b) under damped

(c) over damped

(d) damped

This question was posed to me in an interview.

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

Answer 1

Right choice is (c) over damped

The explanation: If the roots of an equation are real and unequal, then the response will be over damped response. Over damped response of a system is defined as the system returns (exponentially decays) to equilibrium without oscillating.