The charge on a capacitor of an RLC circuit is shown to be Lq''+Rq'+1/C=e(t). It is proven that Q(s)=((Ls+R)q(0)+Li(0)+E(s))/(Ls^2+Rs+1/C)

(a) Rewrite the denominator of your expression for Q(s) by factoring out L and completing the square.

(b) Assuming that 4/LC > R^2 /L^2 , find q(t) = L−1{Q(s)} if E(s) = 0 (Laplace Transform)

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