I would hazard that the letter Z was chosen for because it's the last letter of the Roman alphabet. The connection is that Omega is the last letter of the Greek alphabet and is the unit symbol used for impedance.
Either that or its on heck of a coincidence!
I don't know this for a fact, but here's my guess: The mathematics of electricity came a long time before the electricity. A complex quantity in math was always represented by ' Z ', and when the notion of complex impedance came along, and it was recognized that all the math of complex numbers could be applied to AC circuits with reactive components, then the already familiar symbol for complex quantities was adopted for complex impedance. If you buy this as a probable explanation, then your question now becomes: Why is the complex number symbol ' Z ' ?
The expression for impedance is Z=R+jX(Which is in complex form) ; In mathematics complex numbers are represented by real and imaginary components as Z=X+iY(As X,Y,Z are consecutive letters). Hence the impedance is represented by Z.
I would hazard that the letter Z was chosen for because it's the last letter of the roman alphabet.
The connection is that Omega is the last letter of the Greek alphabet and is the unit symbol used for impedance (measured in ohms).
Either that or it's a devil of a coincidence.
The capital letter Z is represented as: 01011010 Whereas the lower case z is represented as: 01111010
an integer can be represented as any letter of the alphabet
Zero
Zenith Electronics Corporation
we represent the letter Z in our sets of numbers. for eg:- Z= 1,7,2,8,3,9,4,5,6
To calculate the admittance if you are given the impedance, you take the inverse of the impedance ( that is 1/z).
AnswerThe unit of measurement for impedance is the ohm.
Milller's Theorem is used to simplify a circuit for circuit analysis. Instead of one impedance, which connectes two non-grounded nodes, Miller's Theorem allows this impedance to be broken down into two parallel impedances. One impedance can be seen as Z/(1-A) and the other impedance can be simplified to Z/(1-(1/A)). In this case, Z was the value of the original impedance, and A is the gain of the amplifier being analyzed.
Work it out for yourself. The equation is: Z = E/I, where Z is the impedance, E is the supply voltage, and I is the load current.
Impedance is a vector sum using the formula Z = square root (XL2 + R2); where Z = impedance, XL = inductive reactance, and R = resistance. Therefor the formula for a circuit where XL = 64ohm's and R = 36ohm's is Z = square root(642 + 322); Z = 71.6ohms.
In AC, impedance (Z) takes on real and imaginary components, and so do voltage (V) and current (I). Re(Z) is affected the DC resistance. Im(Z) is determined by the capacitive and inductive components of the circuit.
the impedence should be complex conjugate of an equivalent impedence of the network when viewed from the terminals of the load. i.e; Z=R-jx