Given that VS = 3V, VBE = 0.3V, IC = 9mA, and R1 = 1kΩ, calculate the base current of the transistor Q1 using KVL. Also find the current gain (beta ) of the transistor Q1.
We know that load line equation
VBB=VBE+IBRBVBB=VSVS=VBE+IBRBV_{BB}=V_{BE}+I_BR_B\\V_{BB}=V_S\\V_{S}=V_{BE}+I_BR_BVBB=VBE+IBRBVBB=VSVS=VBE+IBRB
Put value
3=0.3+IB×10003=0.3+I_B\times10003=0.3+IB×1000
2.7=IB×10002.7=I_B\times10002.7=IB×1000
IB=2.7mAI_B=2.7mAIB=2.7mA
Ic=9mAI_c=9mAIc=9mA
β=IcIB=9×10−32.7×10−3=\beta=\frac{I_c}{I_B}=\frac{9\times10^{-3}}{2.7\times10^{-3}}=β=IBIc=2.7×10−39×10−3= 3.33
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