Circuit Relationships are given as follows
For base-emitter circuit,
iB =(VBB-VBE(on))/RB
For collector and emitter currents,
iC = beta*iB and iE = (beta + 1) iB
For collector-emitter circuit
VCC = i CRC + VCE
Common-Emitter Configuration(npn)

VBE = VBB
At emitter-base voltage = zero,
i BE =VBB /RB
Base-Emitter Load Line (npn)

For circuit,
iC=VCC –VCE/RC
At collector current = zero,
VCE = VCC
At collector-emitter voltage = zero,
Ic=VCC /RC

As iB increases or decreases,Q point moves up or down load line.If iB increases too much,Q point is pushed into saturation region.If IC < (beta)*IB , Then Saturation occurs and VCE(sat) is typically 0.1 to 0.3 V
Applications of BJT
Generally for analog circuits,Want to operate in only the forward active region.Generally for digital circuits we want to operate the device between cut-off and saturation regions.
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