Solution 2:
(i) To calculate IE:
IE = [ VBB' - VBE(ECL) - (-VEE) ] / RE
= [ -3.457 - 0.75 + 4.5 ] / 0.32
= 0.916 mA
VIL = VBB - 0.05 = - 0.86 - 0.05 = -0.91V
VIH = VBB + 0.05 = -0.86 + 0.05 = -0.81V
(ii) VB,O = -2R (I1) - VD(ON) ; I1 = - [ VB,O + VD,L1(ON) ] / 2R
Also from the circuit;
I2 = - VB,O / R ; But IE = I1 + I2
IE = I1 + I2 = - [ VB,O + VD(ON)] / 2R - [ VB,O / R ]
Rearranging & solving for VB,O yields;
VB,O = [ -2R(IE) /3 ]+ [ VDL(ON)/3 ]
= [ -2(0.630)(0.916) / 3 ] + 0.75 / 3
= -0.134 V
VOR(OL) = VB,O - VBE,BO(ECL)
= [ - 0.134 - 0.75 ]
= -0.884 V
Now to determine the voltage at the NOR output ;
VB,N = VB,O + VDL1(ON) + I1(R)
Substituting for I1 yields;
VB,N = VB,O + VD,L1(ON) - { [ VB,O + VD,L1(ON) ] x R} /2R
VB,N = [ VB,O /2 ] + [ VD,L1(ON) / 2 ]
= [- 0.134 / 2 ] + [ 0.75 / 2 ]
= 0.308 V
Hence the NOR output voltage is;
VNOR(OH) = VB,N - VBE(ECL)
= 0.308 - 0.75 = - 0.442 V