The s-domain equivalent of the inductor reduces to an inductor with impedancea.s3Lb.Lc.s2Ld.sL

The s-domain equivalent of an inductor is given by the impedance formula Z = sL. Therefore, the correct answer is d. sL.

Here's the step-by-step explanation:

1. In the time domain, the voltage-current relationship of an inductor is given by V = L(di/dt), where V is the voltage across the inductor, L is the inductance, and di/dt is the rate of change of current.

2. When we transform this relationship to the s-domain using Laplace transform, we get V(s) = sL*I(s), where V(s) is the Laplace transform of the voltage, I(s) is the Laplace transform of the current, and s is the complex frequency.

3. From this, we can see that the impedance of the inductor in the s-domain is Z(s) = V(s)/I(s) = sL.

So, the s-domain equivalent of the inductor is an inductor with impedance sL.