In the given circuit, what is the value of VE when using a silicon BJT?

In the given circuit, what is the value of VE when using a silicon BJT? Correct Answer 2.28 V

Consider the BJT to be in saturation. Then IC=20-0.2/2k=9.9 mA And IB=20-0.8/430k=0.044 mA IBMIN=ICSAT/β=5.09/50=0.198mA which is greater than above IB. Hence transistor is in the active region. Thus IC=βIB. VBE=0.7V IB=20-0.7/430=44.88μA IC=50×44.88=2.24 mA VCE=20-2.24*2=15.52V VE=IERE=(1+β)IBRE=51*44.88*1=2.28V.
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