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Half-wave controlled rectifier circuit (Power Electronics)

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I've attached jpegs that show the circuits that I'm working with. My problem is that I don't know how to find the values of Ct and Rt for a specific firing angle. What formulas are needed? Is the calculation affected by the fact that there are two different loads (see circuits 1 and 2 jpegs)? What process must I go through to find a firing angle of, say, 60 degrees in each case.

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This solution helps find the values of Ct and Rt for a specific firing angle.

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