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Z = R + jX Z = (R^{2} + X^{2})^{½} ϕ = tan^{1}(X/R) Y = 1/Z
Circuit Configuration 
Impedance Z = R + jX 
Magnitude {Z} = (R^{2} + X^{2})^{½} 
Phase Angle ϕ = tan^{1}(X/R) 
Admittance Y = 1/Z 
R  R  0  1/R  
jωL  ωL  +π/2  j/ωL  
j/ωC  1/ωC  π/2  jωC  
jω(L_{1}+L_{2}±2M)  ω(L_{1}+L_{2}±2M)  +π/2  j/[ω(L_{1}+L_{2}±2M)]  
(j/ω)(1/C_{1}+1/C_{2})  (1/ω)(1/C_{1}+1/C_{2})  π/2  jωC_{1}C_{2}/(C_{1}+C_{2})  
R+jωL  (R^{2}+ω^{2}L^{2})^{½}  tan^{1}(ωL/R)  (RjωL)/(R^{2}+ω^{2}L^{2})  
Rj/ωC  (1/ωC)(1+ω^{2}C^{2}R^{2})^{½}  tan^{1}(1/ωCR)  (R+j/ωC)/(R^{2}+1/ω^{2}C^{2})  
j(ωL1/ωC)  (ωL1/ωC)  ±π/2  jωC/(1ω^{2}LC)  
R+j(ωL1/ωC)  [R^{2}+(ωL1/ωC)^{2}]^{½}  tan^{1}[(ωL1/ωC)/R]  
R_{1}R_{2}/(R_{1}+R_{2})  R_{1}R_{2}/(R_{1}+R_{2})  0  1/R_{1}+1/R_{2}  
+π/2  
j/ω(C_{1}+C_{2})  1/ω(C_{1}+C_{2})  π/2  jω(C_{1}+C_{2})  
ωLR/(R^{2}+ω^{2}L^{2})^{½}  tan^{1}(R/ωL)  1/Rj/ωL  
R(1jωCR)/(1+ω^{2}C^{2}R^{2})  R/(1+ω^{2}C^{2}R^{2})^{½}  tan^{1}(ωCR)  1/R+jωC  
jωL/(1ω^{2}LC)  ωL/(1ω^{2}LC)  ±π/2  j(ωC1/ωL)  
[(1/R)^{2}+(ωC1/ωL)^{2}]^{½}  tan^{1}[R(1/ωLωC)]  1/R+j(ωC1/ωL)  
Impedance Z  
Magnitude Z  
Phase Angle ϕ  
Admittance  
Impedance Z  
Magnitude Z  
Phase Angle ϕ  
Admittance  
Impedance Z  
Magnitude Z  
Phase Angle ϕ  
Admittance  
Impedance Z  
Magnitude Z  
Phase Angle ϕ  
Admittance  
Impedance Z  
Magnitude Z  
Phase Angle ϕ  tan^{1}(X_{1}/R_{1})+tan^{1}(X_{2}/R_{2})tan^{1}[(X_{1}+X_{2})/(R_{1}+R_{2})]  
Admittance  1/(R_{1}+jX_{1})+1/(R_{2}+jX_{2}) 
Note: Corrections made to RLC Magnitude and Admittance formulas, and to RLR Admittance formula on 7/3/2014. Thanks to Bob N. for catching the errors.
(source: Reference Data for Engineers, 1993)
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