bottom (2) superconductors. The kinetic inductance fraction, α = L$_{k}$ $_{L$_{T}$}$, is defined as the ratio of the kinetic inductance L$_{k}$ to the total inductance, L$_{T}$ = L$_{k}$ + L$_{m}$ , where L$_{m}$ is the magnetic inductance of the transmission line. Using Equation 1 and the phase velocity of a normal metal transmission line v$_{pN}$ = c/ √ ϵ$_{r}$ we can calculate α for a uniform distribution of quasiparticles in both the top and bottom microstrip wiring as: The microstrip MKID is read out by sending a microwave probe signal past the res- onator, and a homodyne mixing scheme is used to recover the phase and dissipation changes imprinted onto the carrier by the MKID [1]. Using Equation 3 and Equation 4 [14], we can express the expected responsivity, normalized so the microwave transmission past the resonator S$_{21}$ far off resonance is unity, of a microstrip MKID in both dissipation and phase as: where N$_{qp}$ is the number of quasiparticles in the resonator, Q$_{m}$ is the measured quality factor, Q$_{c}$ is the coupling quality factor, V is twice the volume of the top microstrip wiring layer since this is where the current flows and where quasiparticles effectively contribute to the surface impedance, N$_{0}$ is the single spin density of states, Δ$_{0}$ is the effective gap at T ≈ 0, ξ = $_{ℏ}$ω/ 2 kT , and γ is constant that varies from -1/3 in the extreme anamalous limit to -1 in the thin film local limit. The predicted phase responsivity in radians per quasiparticle, ∂θ/∂N$_{qp}$ , can be found by taking the imaginary part of Equation 4, while the dissipation response ∂D/∂N$_{qp}$ is found by taking the real part. Q$_{m}$ is related to Q$_{c}$ and the quality factor resulting from any source of dissipation in the system, Q$_{i}$ , by the relation Q − 1 m = Q − 1 c + Q − 1 i . We operate the devices in this paper at T < T$_{c}$/ 8, so there are 3 κ ≈ 1 πN$_{0}$$^{√}$ 2 πkT Δ$_{0}$ sinh( ξ ) K$_{0}$ ( ξ ) + j 1 2 N$_{0}$ Δ$_{0}$ [ 1 +$^{√}$ 2Δ$_{0}$ πkT e − $^{ξ}$I$_{0}$ ( ξ )$^{]}$ ∂S$_{21}$ ∂N$_{qp}$ = α | γ | κQ 2 m V Q$_{c}$ (4) with α = 1 −$^{(}$ v$_{p}$ v$_{pN}$$^{)}$$^{2}$ (2) = 1 −$^{(}$ 1 + λ$_{1}$ d coth$^{(}$ t$_{1}$ λ$_{1}$$^{)}$ + λ$_{2}$ d coth$^{(}$ t$_{2}$ λ$_{2}$$^{))}$$^{−}$$^{1}$ (3)