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For a three-phase bridge diode rectifier, the output current is \(I_{dc}\). The RMS diode current is ______.

  • A.\(0.409\,I_{dc}\)
  • B.\(0.579\,I_{dc}\)
  • C.\(0.785\,I_{dc}\)
  • D.\(4.09\,I_{dc}\)

Answer: B

In a three phase bridge rectifier with a constant (highly inductive) load current \(I_{dc}\), each diode carries the current for one third of the cycle, that is for \(120^\circ\).


\[ \begin{aligned} I_{D,rms} \\ &= \sqrt{\frac{1}{2\pi}\int_0^{2\pi/3} I_{dc}^2\, d\theta} \\ &= I_{dc}\sqrt{\frac{1}{3}} = 0.577\,I_{dc} \end{aligned} \]


The nearest value offered is \(0.579\,I_{dc}\), option B (the exact figure is 0.5774). The average diode current is \(I_{dc}/3\), and 0.409 and 0.785 are the factors for other rectifier connections.

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