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.

View More On Wikipedia.org
  1. T

    How Do You Calculate Impedance from Power Figures?

    How do I figure out the impedance if the figures are shown in watts? I am used to seeing the values in rectangular form. http://i60.tinypic.com/vcz3u1.jpg
  2. M

    Impedance and Phase Angle in a Simple Circuit

    Homework Statement Given the circuit above. a) Find I1, I2 and I. b) Find the power used in branch 1 and branch 2. (please correct my "translation" if it's wrong) c) Find the resulting impedance and phase angle. (Is resulting impedance a term?) d) Find the voltage between...
  3. J

    Engineering Determining total impedance, Voltage V2 and current IL of circuit

    I am asked to find the total impendance ZT, voltage V2 and IL for the circuit attached I am not sure if i am correct, but this is how i approached this problem: So i first found the total impendance in the first parallel branch and then the second...
  4. Y

    Impedance as a function of angular frequency

    Homework Statement Homework Equations Z_L = jωL Z_C = 1/(jωC) = -j/(ωC) The Attempt at a Solution This is my attempt for the series combination: Z = jωL + 1/(jωC) Z = j0.02ω - j20000/ω Is there a way to simplify this further? What would a graph look like, if the function...
  5. V

    Do I understand impedance correctly? Can anyone fact check my post?

    $$Let\quad \vec { Z } =R+Xj$$ If X>0,then the impedance is lagging (current lags behind voltage).If X<0,then the impedance is leading (current leads voltage or more accurately, voltage lags behind current). If X=0, the current and voltage are in phase and the load is called purely real. If x≠0...
  6. T

    Telephone Wire with Load and Characteristic Impedance

    Now w/ Attachment: Telephone Wire w/ Load and Characteristic Impedance Homework Statement Please see attachment. Homework Equations I(z)=I+(exp(-γz)) + I-(exp(γz)) V(z)=V+(exp(-γz)) + V-(exp(γz)) The Attempt at a Solution I solved easily for the characteristic impedance and gamma...
  7. T

    Impedance Calculation: Finding Capacitor Value w/ Phasor & ω

    Homework Statement I am trying to find value of a capacitor knowing capacitor impedance (Phasor) and ω (in rad/sec). The Attempt at a Solution Zc = -j/ωC C = -j/ωZc My question is do I have to convert the ω into degrees/sec before doing the calculations since Z(impedance) is in...
  8. H

    Quarter wave impedance transformer?

    Hi everyone, I keep trying to understand how impedance transformation works using a TLT but I'm stumped. There seems to be something I am just not understanding. Can someone explain in different ways how a line that is a quarter wave long cause an open circuit to look like a dead short and...
  9. U

    What is the Impedance of a Cross Yagi Designed for RHCP?

    I'm designing a cross yagi as one component of a capstone project. The design I have right now is 3 elements per polarization, counting driven elements (total of 6 elements). I ran a quick 4nec2 simulation of a single polarization (3 elements) using center excitation on the driven element and...
  10. R

    Engineering Understanding Impedance: How to Find Poles and Zeros of a Network

    Homework Statement I have some trouble understanding the worked examples below: Considering the input impedance of the network below: ##z_{in} = R+ \frac{sL/sC}{sL+(1/sC)}## ##z_{in} = R \left[ \frac{s^2+s/(RC)+1/(LC)}{s^2+1/(LC)} \right]## Where ##s=j\omega##. How did they get from the...
  11. D

    How Do Input/Output Impedance and Active Bandpass Filters Affect Node Voltages?

    The Meaning Of An Active Bandpass Filter Homework Statement Calculate the node voltages V1 and V2. Assume that the 0 ohm resistor is an ammeter, and that the zero current element is a voltmeter. https://scontent-b.xx.fbcdn.net/hphotos-ash3/t1/1898156_10151912573775919_1335607656_n.jpg...
  12. N

    What does negative impedance mean?

    I could see that capacitor impedance is mostly negative. Does the negative sign has any significant meaning? Also why do people convert impedance to admittance for circuit calculation? Please help!
  13. I

    Understanding Complex Impedance in Electrical Circuits

    For the problem on the left, the 2 capacitors are parallel to each other so the 1/z = 1/-2j + 1/-2j = 2/-2j so 1/z = 1/-j = -1/j so the total impedance of the 2 capacitors, z = -j Now if you add this to 5j + 4 (the total impedance of the resistor and inductor) you get 4j+4. However...
  14. M

    Calculating Impedance and Effective Power in a Complex Circuit

    Hi, can you please check my answer? I am not confident because the power consumption seems too small. By the way, we don't use calculator at all so we don't have to calculate to the exact value. For example, if there is "pi", we can just leave it as it is, without converting it into 3.142...
  15. C

    Convert between sinusoidal / phasor, find average power, impedance

    Homework Statement http://imageshack.us/a/img834/8450/4y0t.jpg Given V(s)t = 100cos100t volts, find the average power supplied by the source and the current i2t in the network. Homework Equations V = IR V = IZ Z = V/I inductor impedance: ZL = ωLj capacitor impedance: Zc =...
  16. B

    Impedance of practical Capacitor

    Homework Statement A practical capacitor can be modeled by an ideal capacitor in parallel with a resistor.Find the impedance of practical capacitor at the radian frequency ω=377rad/s.Known C1=0.1 x 10^-6F R1=1 *10^6. Homework Equations 1/Z=1/R1 + jCω The Attempt at a SolutionI am first...
  17. B

    Impedance of practical Capacitor

    A practical capacitor can be modeled by an ideal capacitor in parallel with a resistor.Find the impedance of practical capacitor at the radian frequency ω=377rad/s.Known C1=0.1 x 10^-6F R1=1 *10^6. I am first determining the Z, by adding the impedance of resistor and the capacitor in...
  18. S

    How Do You Calculate Complex Impedance in AC Circuits?

    The circuit and questions are attached. Homework Statement First: Calculate the complex impedance of the circuit. Second:Limiting cases Third:Imax Lastly: Phase Homework Equations The Attempt at a Solution I've never had any ac circuits and the DC circuits I did before transferring were...
  19. D

    Finding input impedance with smith chart

    Homework Statement Find an input impedance of a 50 Ω transmission line of length transmission line of length 3λ/8 terminated with a load of 10 Ω. Homework Equations Zl'=(Zl/Zc) Zin(L)=(Zl-jtan(kL))/(1+jZltan(kL)) The Attempt at a Solution I have uploaded my attempt how far off...
  20. D

    Impedance Matching Coaxial Cables

    Homework Statement We need to connect two coax cables with the same dielectric (εr = 9) but with different dimensions as shown. How big must be the radius of the outer conductor of the second line in order to match two lines? How would the velocity of the wave propagation change, if we...
  21. A

    Impedance as seen across two terminals

    Homework Statement All the inductances in Figure P8.2.10 are j10, all the resistances are 10, and all the capacitances are -j12 . Determine the impedance between terminals 'ab'. Ans. 27 + j9 Homework Equations The Attempt at a Solution I figured I should add up the impedances...
  22. R

    Calculating Connector Impedance & Irregular Wire Char. Impedance

    Hi, I am modeling the Unshielded Twisted Pair Wire and I have hit a roadblock there. I have studied the mathematical equations for the twisted wire pair. And they give results with an accuracy of 10%. This is in part due to the fact, that almost all equations assume that both the wires are...
  23. Z

    What is meant by the input impedance of a voltage source?

    I am familiar with the concept of the internal resistance of a voltage source, but what is meant by the input impedance?
  24. X

    Resister inductor - calculate resulting impedance

    resister // inductor -- calculate resulting impedance Hello, how 600Ω || 300jΩ = 120 + j240 ?? how do you get the value 120 + j240 from 600 register parallel wih 300jΩ inductor?
  25. M

    What is the impedance of a matched transmission line

    Hi, I've been coming to physicsoforums for years, I love the community! This might be my first post though. I am wondering what the impedance is of a transmission line with a matched stub on the end. The impedance of the line is 50 Ohms, and the impedance of the stub is 50 Ohms. Is the...
  26. K

    3-Phase line impedance R/L simulator

    Hello folks, We are looking to perform some tests with our system that is connected to 380VAC mains and draws up to 150KW of power. We want to be able to simulate different line impedance (R & L) to test our power supplies in low/bad line conditions. A few R and L values would suffice...
  27. A

    Characteristic Impedance for a (∏) two port network

    Homework Statement Calculate the Characteristic Impedance (Z0) of the two port network? Homework Equations When port 2 open-circuit, I2 = 0 So, Z11 = V1 / I1 = 40(60) / 100 = 24 Ω When I2 = 0, thus V2 V2 = 40 / 20+40 V1 = 0.666 V1 Z21 = V2 / I1 = 0.666 V1 / (V1...
  28. U

    Finding impedance of rlc parallel ckt

    in most of the books i have seen that while finding an impedance for an parallel RLC circuit first they find the individual admittance of each of the element the after summation of these they take reciprocal to find the impedance why is it done like that can't we find the impedance in a normal...
  29. D

    Calculate Load Impedance: Circuit Analysis for PF 0.95, 1, and 0.45 Lagging

    Homework Statement Determine the load impedance for the circuit depicted in fIG 11.40 if the source is operating at a PF of (a) 0.95 leading: (b) unity: (c) 0.45 lagging. Homework Equations uploaded The Attempt at a Solution uploaded. I am not really sure what to do please see...
  30. C

    Engineering Basic AC Circuit Question on Equivalent Impedance

    Homework Statement If R1 = 2 Ω, X1 = 1 Ω, R2 = 2 Ω, and X2 = -2 Ω , the equivalent impedance Zeq (in ohms) at terminals a and b is: (the circuit diagram is attached to this post) a. 3 + j 0 b. 3 + j 2 c. 3 - j 2 d. 0 - j 2 e. 0 + j 2 The answer is a. I have no idea how to...
  31. T

    What is the Characteristic Impedance of a System?

    I'm just starting to read up on RF circuits, and I'm a little confused about what the characteristic impedance of a system is (not the characteristic impedance of a transmission line, I understand that pretty well). For example, in Pozar's book he talks about a 3 dB attenuator with a 50 Ω...
  32. M

    Finding voltage and impedance

    Hi again. I just want to make sure I got the answers correct since this is a past year question (received from a senior), I don't have the answers. Power supply voltage E=10e^(jπ/4) [V]; Current I1=2e^(jπ/4) [A]. The magnitude of current I2 is equals to current I1, but its phase is π/2...
  33. K

    Solving Impedance Diagrams: Finding i(t) with XL = ωL

    Homework Statement Homework Equations impedence diagram, XL = ωL The Attempt at a Solution Ok i got XL = 47 ohm Then my phase angle is 88.8 degree. Then to find i(t) i have to add that angle to the function right?
  34. J

    What is the Impedance Value for a Circuit with Given Parameters?

    Homework Statement Find Z R=10Ω Vs=120v (PF)=0.72 Lagging Homework Equations I=P/Vs(PF) Z=Vs/I The Attempt at a Solution I have I=P/Vs(PF) and transpose for I to get 4.34A Then to find Z Z=Vs/I which gives 27.65ohm When...
  35. K

    Solve Impedance Problem: 50nF Capacitor & 47kΩ Resistor

    Homework Statement A circuit consists of a 50nF capacitor in series with a 47kΩ resistor. An AC voltage of 120Vrms at 350Hz is applied to the circuit. (a) Determine the current flowing through the circuit. (b) Sketch the impedance diagram for the circuit at this frequency. Homework...
  36. D

    Impedance seen by input of inverting amplifier

    Hi, The book I'm reading references the fact that the impedance seen by the inverting input of an inverting amplifier is just the two feed back resistors, R1 and R2 in parallel. I'm having trouble seeing this. I understand how the basic voltage divider with one end at Vin and the other...
  37. P

    Can the Impedance of Series RC and Parallel RL Circuits be Equal with Same R?

    Homework Statement Can a series RC circuit and a parallel RL circuit have the same impedance if the R is the same in both? What would the values of R, L and C have to be if they can? Why/why not, physically speaking? Homework Equations Zr=R Zc=1/iwC ZL=iwLThe Attempt at a Solution I know in...
  38. C

    Given impedance, find voltage drop across resistor

    Homework Statement Determine the voltage V0 in the following network if the impedance Z contains: a. a 0.5 mH inductor b.a 10 μF inductor Homework Equations Voltage division for 2 series resistors: (v in)(resistor/total series resistance) ZL = ωLj Zc = -1j/ωC Z = ZL + ZC + R Zmagnitude =...
  39. P

    Is this the correct diagram of finding equivalent impedance

    Homework Statement Can you check if the values and labels are correct Homework Equations The Attempt at a Solution
  40. P

    Is this the right way to find impedance using complex power and volta

    Homework Statement The load (Z) in the circuit below absorbs a complex power of 54+j46 VA when the voltage across it is 3cos(400t+-60)V. Use this information to determine the impedance of the loadHomework Equations P = V^2 / Z The Attempt at a Solution first convert V to polar form 3 <...
  41. P

    Calculating average power using impedance and rms current

    Homework Statement Calculate the average power (P) absorbed by the load shown below when its impedance is 56 +j15 ohms 21 A rms? Answer to three significant figures Homework Equations P=Irms^2*RThe Attempt at a Solution Converting 56 +j15 to polar form yields 57.9741 ohms @ 14.9951 degrees...
  42. C

    Expressing equivalent impedance

    Homework Statement Determine the equivalent impedance of the following network: (My bad, the element at the far right where the j2ohm is was supposed to be an inductor, fixed now. The numbers are correct too.) Homework Equations R(series) = R1 + R2? R(parallel) = [ (1/R1) + (1/R2) ]-1...
  43. C

    Engineering Find load impedance / (Thevenin / Norton too) with RLC & AC circuit?

    Homework Statement For the circuit shown, what value of ZL results in maximum average power transfer to ZL? What is the maximum power in milliwatts?Homework Equations P max = (VTh)2/4RL Thevenin, Norton procedures, voltage division, current division, etc etc The Attempt at a Solution This...
  44. C

    Find phasor current (impedance, etc.), finding polar form

    Homework Statement A 90Ω resistor, a 32 mH inductor, and a 5μF capacitor are connected in series across the terminals of a sinusoidal voltage source Vs = 750cos(5000t + 30)V. Calculate the phasor current. Homework Equations phasor current i = V/Z V in polar form = (Magnitude)(cos a + j sin...
  45. P

    Equivalent impedance per phase (3 Phase balanced systems)

    Hi, if a load is given in MVA and I work out the Real and reactive power, is the equivalent complex impedance per phase the values of real and reactive power divided by three in the following form: Z (per phase) = Real power/3 + j Reactive power/3 Im not sure how to work out whether the...
  46. A

    Finding impedance that is unit step function

    Homework Statement Consider the following circuit which uses ideal components. Prior to t=0 switch S is open. Then suddenly at t=0 switch S is closed. Find the impedance Z_{2} such that the system output is a unit step function of voltage. Be certain to show all components used to construct...
  47. P

    Find the impedance of capacitor and inductor with dependant current so

    Homework Statement From the circuit find the impedances of the capacitor and inductor Is(t)=15 cos(500t) A Homework Equations The Attempt at a Solution So is this right? Convert the 15 cos 500t into polar form, 15<0 I. Then the resistor is 8 ohms, so 15*8 = 120 V...
  48. E

    Surface impedance - Boundary condition

    Hello! Let a plane wave propagate towards the -y direction. It is normally incident upon the plane (x,z) (whose normal unit vector is the y-direction unit vector, \mathbf{\hat{u}}_y): the plane represents the interface between the free space (in y > 0) and a general lossy medium (in y < 0). We...
  49. S

    Finding impedance 'looking in'?

    Homework Statement The Attempt at a Solution The impedance in question(Rib) is defined to be, exactly like Rin or any other impedance at a point: Rb = Vb/Ib I took the approach of first finding Ib. I did this by using the Beta value given and the emitter current. Using the relationship: Ib...
  50. 0

    Apparent power, impedance and alternating current.

    Homework Statement Two serially connected impedances one with \Phi = π/3 and other with \Phi = 0. They have apparent power of S1=S2=200VA. Find total apparent power. Homework Equations S = sqrt(P^2 + Q^2) The Attempt at a Solution so cosPhi = P1/S1. So P1=cosπ/3*200=100W...
Back
Top