Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms wit ?->(Show Answer!)

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1. Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms with exponentials having real exponents only.

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MCQ->Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms with exponentials having real exponents only.

MCQ->Assertion (A): Laplace transform of f(t) = e-at sin ωt is Reason (R): If Laplace transform of f(t) is F(s), then Laplace transform of e-at f(t) is F(s + a).

MCQ->Assertion (A): If the Laplace transform is , the Laplaces transform of impulse response is given by Reason (R): The Laplace transform for an impulse function is 1.

MCQ->Assertion (A): If Z1(s) and Z2(s) are positive real then Z1(s) + Z2(s) as well as 1/Z1(s) and 1/Z2(s) are positive real.Reason (R): The poles of a positive real function are real or occur in conjugate pairs.

MCQ->Assertion (A): In root locus the breakaway and break in points either lie on real axis or occur in complex conjugate pairs.Reason (R): All root locus asymptotes intersect on real axis.

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