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E5B03

ELECTRICAL PRINCIPLES · Time constants and phase relationships: RL and RC time constants; phase angle in reactive circuits and components; admittance and susceptance

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How is impedance in polar form converted to an equivalent admittance?

  1. ATake the reciprocal of the angle and change the sign of the magnitude
  2. BTake the reciprocal of the magnitude and change the sign of the angle
  3. CTake the square root of the magnitude and add 180 degrees to the angle
  4. DSquare the magnitude and subtract 90 degrees from the angle
Why Admittance is simply the reciprocal of impedance, Y = 1/Z. In polar form, dividing 1 by M at angle theta gives (1/M) at angle minus theta, because reciprocals invert the magnitude and negate the phase angle. So a 50 ohm impedance at +30 degrees becomes an admittance of 0.02 siemens at -30 degrees.
Watch out The choice that inverts the angle and flips the sign of the magnitude has the two operations backwards; magnitudes of impedance and admittance are always positive, and it is the phase that changes sign.
Y = 1/Z: flip the magnitude, flip the sign of the angle.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E5B

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  2. E5B02 What letter is commonly used to represent susceptance?
  3. E5B03 How is impedance in polar form converted to an equivalent admittance?
  4. E5B04 What is the time constant of a circuit having two 220-microfarad capacitors and two 1-megohm resistors, all i…
  5. E5B05 What is the effect on the magnitude of pure reactance when it is converted to susceptance?
  6. E5B06 What is susceptance?
  7. E5B07 What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 500 …
  8. E5B08 What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 300 …
  9. E5B09 What is the relationship between the AC current through a capacitor and the voltage across a capacitor?
  10. E5B10 What is the relationship between the AC current through an inductor and the voltage across an inductor?
  11. E5B11 What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 25 o…
  12. E5B12 What is admittance?
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