如果NPN三极管饱和,集电结正向偏压,因此有 Vc<Vb,则:
Vc=Vcc-IcRc < Vb=Ve+Vbe=Re(1+β)*Ib+ 0.7;
所以:Vcc-0.7 < β*Ib*Rc + Re*(1+β)*Ib;
所以:Ib > (Vcc - 0.7) / [β*(Rc+Re) + Re] ----------(1);
对R1、R2、基极b交汇的节点应用节点电流定律,有:
(Vcc -Vb)/R1 = Ib + Vb/R2, 由此有:
R2*Vcc - (R1+R2)*Vb = R1R2*Ib;
而Vb=Vbe+Ie*Re = 0.7 + (1+β)Ib*Re 带入上式:
R2Vcc-0.7(R1+R2)-(R1+R2)(1+β)Ib*Re = R1R2*Ib, 因此可求得Ib:
Ib=[Vcc*R2-0.7(R1+R2)] / [R1R2+(1+β)(R1+R2)*Re] , 考虑到(1)式所以有:
[Vcc*R2-0.7(R1+R2)] / [R1R2+(1+β)(R1+R2)*Re] > (Vcc-0.7) / [β(Rc+Re)+Re]
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