For a SCR the maximum rms on-state current is 35 A. If the SCR is used in a resistive circuit for a rectangular wave with conduction angle of 90°. Calculate the average & rms currents respectively.

To calculate the average and RMS currents for an SCR (Silicon Controlled Rectifier) used 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 wave:

[

I_{avg} = I_{max} times frac{D}{T}

]

where (D) is the conduction angle in degrees and (T) is the total period of the waveform. For a rectangular wave with a conduction angle of 90°, we substitute (D = 90°) and use (I_{max} = 35 A).

However, since the total period (T) is not explicitly defined, in a simplification where we consider a full period representing 360°:

[

I_{avg} = I_{max} times frac{D}{360°} = 35 A times frac{90°}{360°} = 35 A times frac{1}{4} = 8.75 A

]

2. RMS Current (I_rms) for a rectangular wave:

[

I_{rms} = I_{max} times sqrt{frac{D}{360°}} = 35 A times sqrt{frac{90°}{360°}} = 35 A times sqrt