Impedance Calculation: Finding Capacitor Value w/ Phasor & ω

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SUMMARY

The discussion centers on calculating the value of a capacitor using its impedance in phasor form and the angular frequency (ω) in radians per second. The formula used is Zc = -j/ωC, which leads to C = -j/ωZc. It is established that there is no need to convert ω from radians per second to degrees per second for these calculations, as the impedance is already in phasor form. This clarification is crucial for accurate capacitor value determination.

PREREQUISITES
  • Understanding of complex impedance in AC circuits
  • Familiarity with phasor representation of electrical quantities
  • Knowledge of angular frequency (ω) in radians per second
  • Basic algebraic manipulation of complex numbers
NEXT STEPS
  • Study the relationship between impedance and reactance in AC circuits
  • Learn about the role of phasors in circuit analysis
  • Explore the impact of frequency on capacitor behavior
  • Investigate other reactive components like inductors and their impedance calculations
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Electrical engineering students, circuit designers, and anyone involved in AC circuit analysis and capacitor selection.

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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 phasor form? I think i need to but just want to make sure.
 
Physics news on Phys.org
Omega is in radians per second.
So the answer is No.
 

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