In the figure, given that VBB supply can vary from 0 to 5.0 V, Vcc=5V, βdc=200, RB=100kΩ, RC=1kΩ and VBE=1.0V. The minimum base current and the input voltage at which the transistor will go to saturation, will be respectively:
(A)25μA and 3.5 V✓ Correct
(B)20μA and 3.5 V
(C)25μA and 2.8 V
(D)20μA and 2.8 V
Answer: (A)
Solution
At saturation the collector−emitter voltage collapses to zero, so the full supply appears across RC: VCC=ICRC, giving IC=10005=5×10−3 A. The base current needed to drive this is iB=βIC=2005×10−3=25μA. Taking Kirchhoff's voltage law round the input loop, VBB=iBRB+VBE=(25×10−6)(100×103)+1.0=2.5+1.0=3.5 V, so the transistor just reaches saturation with a base current of 25μA at an input of 3.5 V.
JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Single correct option