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Example Resonance currents

Lecture



Determine the capacitance value of the capacitor at which the resonance of currents is possible. Build a vector diagram.

Given:
  Example Resonance currents

R1 = 40 Ohm
R2 = 10 ohm
f = 50 Hz
  Example Resonance currents

Decision:

  Example Resonance currents

Current resonance condition:

  Example Resonance currents

Determine the value of the conductances of the branches:

  Example Resonance currents

Solving a quadratic equation, we get two positive roots with values
reactive resistance Xc1 = 78.7; Xc2 = 1.25 ohm
choose one value Xc2 = 1.25 ohm and calculate the current:

  Example Resonance currents

Construction of the vector diagram

  Example Resonance currents
created: 2014-09-27
updated: 2021-01-10
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Electrical Engineering, Circuit design

Terms: Electrical Engineering, Circuit design