What is Impedance: Definition and 505 Discussions

In electrical engineering, electrical impedance is the measure of the opposition that a circuit presents to a current when a voltage is applied.
Quantitatively, the impedance of a two-terminal circuit element is the ratio of the complex representation of the sinusoidal voltage between its terminals, to the complex representation of the current flowing through it. In general, it depends upon the frequency of the sinusoidal voltage.
Impedance extends the concept of resistance to alternating current (AC) circuits, and possesses both magnitude and phase, unlike resistance, which has only magnitude.
Impedance is a complex number, with the same units as resistance, for which the SI unit is the ohm (Ω).
Its symbol is usually Z, and it may be represented by writing its magnitude and phase in the polar form |Z|∠θ. However, cartesian complex number representation is often more powerful for circuit analysis purposes.
The notion of impedance is useful for performing AC analysis of electrical networks, because it allows relating sinusoidal voltages and currents by a simple linear law.
In multiple port networks, the two-terminal definition of impedance is inadequate, but the complex voltages at the ports and the currents flowing through them are still linearly related by the impedance matrix.The reciprocal of impedance is admittance, whose SI unit is the siemens, formerly called mho.
Instruments used to measure the electrical impedance are called impedance analyzers.

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  1. M

    Impedance graph of a transmission line powersystem in MATLAB/simulink

    I'm trying to plot impedance locus of transmission line in Matlab/Simulink. I have readed some document and thay have plot result like that : I'm trying to calculate impedance when system have short - circuit fault, and plot it on R-X diagram, but i can't get their *red - dot* result like those...
  2. bobg123

    Engineering Circuit input impedance with ground in an OP Amp circuit

    I've been given the following circuit and have been asked to find the input impedance and the impedance between the input terminal and ground. I've never encountered an operational amplifier configured like this. I know that the voltages at the - and + terminals of the op amp are ideally equal...
  3. J

    AC Cirucits - Impedance Values

    Homework Statement For the circuit given in the power factor is 0.72 lagging and the power dissipated is 375 W. Determine the: (1) apparent power (2) reactive power (3) the magnitude of the current flowing in the circuit (4) the value of the impedance Z and state whether circuit is inductive...
  4. M

    MHB Finding the impedance in rectangular and polar form

    I don't fully understand how to work out the impedance from the given equation (5j-5)x(11j-11)/(5j-5)+(11j-11). Any help would be greatly appreciated. Thanks. The answer needs to be in rectangular and polar form.
  5. P

    MHB How does 12 + j16 become 20 ∠53.1° in impedance calculations?

    Good morning, I was reviewing a problem in my book regarding Impedance. I have a question. For the impedance -Z they got 20 ∠53.1° degrees How did they go from 12 + j16 to 20 ∠53.1°. Thanks
  6. Abdullah Almosalami

    How to measure the reactive part of output impedance?

    Given a sinusoidal voltage source attached to a load, like the following, I want to get both the resistive ## R_o ## and the reactive ## X_o ## components of the output impedance ## R + jX_o ##. Measuring the open circuit voltage will give ##V##. If I connect a test resistance ##R_1## at the...
  7. T

    Deriving the impedance equation of reactive passive components

    Hi, The origin of this question was contemplating how to express the impedance of an inductor as a function of frequency, for non sinusoidal voltage wave-forms such as triangle waves, but in particular rectangular pulse trains. So going back to basics, I watched this video: He derives the...
  8. iVenky

    Reflection (intrinsic and characteristic impedance effects)

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  9. iVenky

    I Intrinsic impedance of a resistor

    Hi, What's the intrinsic impedance of a resistor? The intrinsic impedance defined as η=E/H ratio of Electric field to Magnetic field? Is it the same as the resistance 'R'? Does it depend on μ,ε of the resistor material or free-space? Also, do we have any electric field surrounding a current...
  10. Callum Plunkett

    The relationship between percent and per unit impedance

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  11. C

    Engineering Input Impedance of a MOSFET circuit

    Homework Statement (From Razavi's Design of Analog CMOS Integrated Circuits - Chapter 6) Homework EquationsThe Attempt at a Solution Not too sure about calculating the input impedance of this. Initially I thought that it would be the series combination of C1 and C2, since we are...
  12. K

    Impedance and Structural Grounding

    These are typical metal roof in my country.. it's connected to iron c-purlins metal screwed to metal sheets. Our structural plans never have any grounding details of this. I'm just wondering what would happen if a live wire touch it or the I-beam connected to it (because we hang electrical wires...
  13. D

    Rearrange equations to calculate the Xpu impedance

    Homework Statement [/B] Given the relationships: ##X pu =\frac{\text{MVA base}}{\text{MVA fault}}## ##=\frac{\text{MVA base}}{\text{MVA rated}}\frac{\text{X%}}{100}## ##\text{fault MVA}=\sqrt{3}\text{VIfault}## ##X\Omega=\frac{V}{\sqrt{3}}I fault## Show that: - (a)...
  14. D

    I have to work out Fault MVA and draw impedance diagrams

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  15. Mzzed

    How is impedance matched with RF connectors?

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  16. Foreverlearning

    I The role of capillaries in a dilution refrigerator

    I've been trying to understand how dilution refrigerators work and inbetween intermediate steps, between different temperature points, I see capillaries here and there under the name of impedances. After some googling, I somewhat convinced myself that it's to build up pressure before and after...
  17. Mzzed

    Load matching/impedance matching

    Hi all, I am currently working on a project where the output/load consists of both a variable inductance and variable resistance, whilst the circuit driving this load is a class E radio frequency (RF) power amplifier with low resistance but relatively high/medium reactance (attempting to design...
  18. B

    I Effect of impedance changes less than a wavelength

    I am interested to know what is the impact of various length scales of impedance changes on wave propagation. From undergraduate physics (a few years ago for me) I roughly remember how to derive reflection and transmission coefficients for a wave traveling from one medium to another with a...
  19. Rorshach

    Acoustic pressure ratio vs acoustic impedance ratio

    Homework Statement Hello, I have a problem with a quote from a textbook I am currently reading, and it is not strictly a homework problem. It is a part of the book in which authors explain mechanism of sound amplification in human ear, specifically by resonance in ear canal and mechanical...
  20. Senim Silla

    I Diameter affecting string's impedance

    Hi, Say there was a situation in which two strings are joined together, each with respective impedances Z1 and Z2, held under a tension T. I was wondering about the functional dependence of the impedance on the diameter of the strings. Thanks
  21. Marcus95

    Input impedance of a "Ladder" transmission line

    Homework Statement My electronics&physics lecture notes contain the following side note: ___ "A ladder transmission line comprises an alternating sequence of segments of two different transmission lines both of length $l$ with characteristic impedance $Z1$ and $Z2$. If the line is constructed...
  22. Valour549

    AC Circuit Analysis- Find Impedance

    Homework Statement 2. The attempt at a solution Am I doing something wrong? I know it's just voltage division with AC phasors and we have to equate the real parts and imaginary parts to find the unknown, but I feel like the question shouldn't be this hard.
  23. Cardinalmont

    I Short Circuiting the Secondary of a Transformer/Self Impedence

    Thank you for reading my post. I was watching the video this video on transformers and saw an amazing demo: From 4:00-5:20 the guy does an experiment where he has a simple transformer circuit set up: On the primary side of the transformer he has an AC power supply, and a lightbulb. On the...
  24. T

    Wall thickness vs frequency.... sound isolation

    When sound hits a wall,part of it gets reflected and part of it gets transmitted due to acoustic impedance difference between solid and air. My problem,and point of this question is that having material or gas impedance number is completely useless unless we know the frequency and wall...
  25. L

    Line impedance versus shunt capacitance

    Hello, I'm having the damnedest time wrapping my head around a concept of audio electronics: http://whirlwindusa.com/support/tech-articles/high-and-low-impedance-signals/ How exactly does a higher impedance bring down the frequency at which capacitance dominates? My current understanding is...
  26. L

    Impedance under lightning current

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  27. S

    Stray/Parasitic Capacitance - Impacts phase velocity?

    Hey everyone, I'm trying to measure the stray capacitance in a circuit comprised of an rf signal generator, an oscilloscope, a coaxial cable (short-circuited) and some capacitors. I measured the resonant frequencies of the coaxil cable for varying values of capacity (0pF to 850pF) between 4MHz...
  28. S

    Acoustic impedance in Materials

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  29. A

    Why does having a high input impedance and low output impeda

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  30. J

    Off center fed dipole input impedance vs height above ground

    I have a question for the community. I am doing a further study and trying to locate any information regarding input impedance of an off center fed dipole at different heights above ground. A simple dipole targets 73.1 ohms for 1 wave length or higher above ground. I am not sure if the same...
  31. gimak

    Impedance & complex currents & voltages

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  32. C

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  33. P

    Surface impedance in porous rigid materials

    Hi guys, I've got an exam in a few days and my lecturer is unresponsive, so wondering if you can help me. The question I am solving is the following: Calculate the impedance at the surface of a layer of spruce wood of thickness d equal to 2mm, and of density rho equal to 0.47 Mg/m3 at...
  34. G

    Transmission line impedance etc

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  35. emma

    How should I calculate conductivity

    Hello, I would like to ask if I have this data from impedance spectroscopy: frequency, Z(im), Z(Real), how should I calculate conductivity ? Should I use R(im) or R(re)?
  36. F

    Complex Parallel Impedance of 20 Ω Resistor & 110 mH Inductor

    Homework Statement Find the complex parallel impedance of a 20 Ω resistor and 110 mH inductor from a 50 Hz supply. Homework Equations Z = R (XL2 / R2+XL2) + j XL (R2 / XL2 + R2) The Attempt at a Solution [/B] R = 20 Ω XL = j34.6 Ω Z = 20 ( j34.62 / j34.62 + 202) + j34.6 ( 202 / j34.62 +...
  37. C

    Looking for guidance on electrical impedance

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  38. TheBigDig

    Engineering Finding Phase Difference in an RC circuit

    Homework Statement Homework Equations ##V = ZI## ##Z_R = R## ##Z_C = -\frac{j}{\omega C}## ##Z = \sqrt{R^2 + (\frac{1}{\omega C})^2}## ##P_{av} = \frac{1}{2}V_m I_m cos(\phi)## ##\phi = arctan(\frac{-1/\omega C}{R})## ##\Delta \phi = \phi _1 -\phi _2## The Attempt at a Solution I've found...
  39. M

    How the wave impedance of free space works?

    Hi All, what is the reason why very close to an electromagnetic source (Fresnel Region), the wave impedance Z0 in free space for electric field and magnetic field is not the same? Z0 for magnetic field increases and for electric field decreases by increasing the distance from the source...
  40. F

    Plasma Impedance Matching Network

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  41. peroAlex

    Engineering RL Circuit Power Computation: What Am I Missing in My Solution?

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  42. Helmholtzerton

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  43. Vikas Kasireddy

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  44. G

    Is there microscopic version of general Ohm's law of V=IZ?

    Hello. Resistive Ohm's law is famously known as V = IR. We can derive its microscopic version as being followed. V = El, where E and l are, respectively, an electric field and a resistive load length over which a voltage drop V is developed. I = JS, J and S are a current density and a...
  45. T

    Negative and zero sequence impedance of alternator

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  46. T

    Impedance matching a purely resistive load

    Homework Statement A 25-Ω antenna is connected to a 75-Ω lossless transmission line. Reflections back toward the generator can be eliminated by placing a shunt reactance Z at a distance l from the load (Fig. 1). Determine the values of Z and l. Homework Equations...
  47. D

    A ##50\Omega## lossless transmission line impedance question

    Homework Statement [/B] a ##50\Omega## lossless transmission line of length ##0.4\lambda## is terminated in a load of ##(40+j30)\Omega##. Determine, using ##Zin=Z0\frac{ZL cos \beta l+j Z0 sin \beta l}{Z0 cos \beta l +j ZL sin \beta l}## the input impedance to the line. ##Z0=50\Omega##...
  48. G

    How does an equivalent impedance consume a real power?

    Hello. Please looks at the attached image first. The left image is LCC impedance matching network (one of T-type impedance matching networks) and the right is the corresponding equivalent circuit when CT and CL are adjusted such that an equivalent impedance of the sub-circuit surrounded by...
  49. G

    Impedance matching concerns equivalent impedance of circuit?

    Hello. Please look at the attached image first. There are two circuits A and B which have individual electrical components a and b. Components a and b are electrically and directly connected by the red lines. Impedances of individual components a and b are not matched, however, equivalent...
  50. Cocoleia

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    Homework Statement I am given the following circuit: and asked to solve for v(t) and i(t) Homework EquationsThe Attempt at a Solution If this is right, I don't know where to go from here.
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