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I suppose you want to make the light stay on even after the voltage recovers after the load is removed.
So what would you like to try first?
RH=(sqrt((Vh*R3+Vcc*R1)^2*RC^2+Vh*R1*R3*(2*Vh*R3*RC-2*Vcc*R1*RC+Vh*R1*R3))-Vh*R3*RC-2*Vh*R1*RC+Vcc*R1*RC-Vh*R1*R3)/(2*Vh*RC+2*Vh*R1)
So we calculate (the symbols "a][b" means to calculate a in parallel with b):
Rs=RH+R3
RpH=R1][Rs
RpL=RC][RH
VHigh=Vcc*RC/(RpH+RC)
VLow=Vcc*RpL/(RpL+R1)
VHysteresis=VHigh-VLow
Do you understand how to do this?
So the value of RH comes out to be:
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