Q1Analog Circuits
Question
Perform the mathematical analysis of fixed biasing for NPN transistor.
Answer
Mathematical analysis of a Fixed Bias circuit using Kirchhoff's laws to find base and collector currents and collector-emitter voltage.
The Fixed Biasing circuit for an NPN transistor consists of a base resistor and a collector resistor connected to a common DC supply .
Applying Kirchhoff's Voltage Law (KVL) from through to the Base-Emitter junction to ground:
Solving for the base current :
Since and are fixed constants, remains fixed, hence the name 'Fixed Bias'.
The collector current is determined by the transistor's current gain :
Applying KVL to the collector side from through to the Collector-Emitter junction to ground:
Solving for the operating voltage :
The operating point (Q-point) is . However, because varies heavily with temperature, fluctuates, making fixed bias thermally unstable.