Kevin Nash
Sol. V base p = 250 V, V base g = –20 V
a) ip = 41(V base p + 7V base g)^1.41
⇒ 41(250 – 140)^1.41 = 41 * (110)^1.41 = 30984 μA = 30 mA
b) I base p = 41(V base p + 7V base g)^1.41
Differentiating,
dip = 41 * 1.41 * (V base p + 7V base g)^0.41 * (dV base p + 7dV base g)
now r base p = dV base p/di base p V base g = constant.
Or dV base p/di base p = 1 * 10^6/41 * 1.41 *110^0.41 = 10^6 * 2.51 * 10^-3 ⇒ 2.5 * 10^3 Ω = 2.5 KΩ
c) From above,
dl base p = 41 * 1.41 * 6.87 * 7 d V base g
g base m = dl base p/dV base g = 41 * 1.41 * 6.87 * 7 μ mho
= 2780 μ mho = 2.78 milli mho.
d) Amplification factor
μ = r base p * g base m = 2.5 * 10^3 * 2.78 * 10^-3 = 6.95 = 7