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To calculate the average and RMS currents for an SCR conducting in a resistive circuit with a rectangular wave and a conduction angle of 90°, we can use the following formulas.
1. Average Current (I_avg) for a rectangular waveform when the conduction angle is 90°:
[
I_{avg} = frac{I_{max}}{pi}
]
Where ( I_{max} ) is the maximum (RMS) on-state current, which is 35 A.
[
I_{avg} = frac{35}{pi} approx 11.14 , A
]
2. RMS Current (I_rms) for the same waveform:
[
I_{rms} = I_{max} times sqrt{frac{theta}{360}} = I_{max} times sqrt{frac{90}{360}} = I_{max} times sqrt{frac{1}{4}} = frac{I_{max}}{2}
]
So the RMS current would be:
[
I_{rms} = frac{35}{2} = 17.5 , A
]
Based on this, the average and RMS currents are approximately:
– Average Current (I_avg): 11.14 A
– RMS Current (I_rms): 17.