Z_=U_ABI_
where the sinusoidal voltage uAB=vA−vB represented by the phasor U_AB is the difference of the electric potentials vB at A and vB at B, and where the sinusoidal electric current represented by the phasor I_ is taken positive if its direction is from A to B and negative if its direction is from B to A
Note 1 to entry: The impedance of an element or circuit is the inverse of its admittance. It is equal to Z_=R+jX=Zejφ, where R is resistance to alternating current, X is reactance, Z is apparent impedance, and φ is displacement angle.
Note 2 to entry: With a suitable qualifier, the word impedance is used to form composite terms designating quantities of the same kind as impedance, e.g.: transfer impedance, characteristic impedance.
Note 3 to entry: The coherent SI unit of impedance is ohm, Ω.
Z _ = U _ AB I _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaadaaqaaiaadQfaaaGaeyypa0ZaaSaaaeaadaadaaqaaiaadwfa aaWaaSbaaSqaaiaacgeacaGGcbaabeaaaOqaamaamaaabaGaamysaa aaaaaaaa@3F1D@
where the sinusoidal voltage u AB = v A − v B MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacaWG1bWaaSbaaSqaaKqzGdGaaiyqaiaackeaaSqabaGccqGH9aqp ruGqV92AGeKB0LwC1fgaiyGacaWF2bWaaSbaaSqaaKqzGdGaaiyqaa WcbeaakiabgkHiTiaa=zhadaWgaaWcbaqcLboacaGGcbaaleqaaaaa @4AC7@ represented by the phasor U _ AB MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaadaaqaaiaadwfaaaWaaSbaaSqaaiGacgeacaGGcbaabeaaaaa@3C32@ is the difference of the electric potentials v B MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aaruGqV92AGeKB0LwC1fgaiyGacaWF2bWaaSbaaSqaaKqzGdGaaiyq aaWcbeaaaaa@4174@ at A and v B MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aaruGqV92AGeKB0LwC1fgaiyGacaWF2bWaaSbaaSqaaKqzGdGaaiyq aaWcbeaaaaa@4174@ at B, and where the sinusoidal electric current represented by the phasor I _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaadaaqaaiaadMeaaaaaaa@3A6D@ is taken positive if its direction is from A to B and negative if its direction is from B to A
Note 1 to entry: The impedance of an element or circuit is the inverse of its admittance. It is equal to Z _ =R+jX=Z e jφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaadaaqaaKqzGeGaamOwaaaacqGH9aqpcaWGsbGaey4kaSscLbqa ciGGQbqcLbsacaWGybGaeyypa0JaamOwaiGacwgakmaaCaaajugibe qabaqcLbmaciGGQbqcLboacqaHvpGzaaaaaa@4956@ , where R is resistance to alternating current, X is reactance, Z is apparent impedance, and φ is displacement angle.