For the circuit shown below, the value of IC is: 

F1 Vinanti Engineering 09.02.23 D28

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  1. 3.0 mA
  2. 45.7 mA
  3. 4.12 mA
  4. 4.16 mA

Answer (Detailed Solution Below)

Option 3 : 4.12 mA
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Detailed Solution

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Concept:

DC Analysis of BJT Amplifier

During the calculation of the DC parameter of a BJT amplifier, the capacitor is open-circuited.

F1 Madhuri Engineering 10.02.2023 D4

\(I_BR_B+V_{BE}+I_ER_E=0\)

VBE = 0.7 V for NPN transistor

and \(I_E=I_B(1+\beta)=I_C+I_B\)

\(240I_B+0.7+2I_E-20=0\)

\(240I_B+0.7+2I_B(1+\beta)-20=0\)

\(​​240I_B+0.7+2I_B(1+90)-20=0\)

\(I_B={19.3\over 422}=0.04 \space mA\)

The collector current is given by:

\(I_E=(1+\beta) I_B\)

\(I_E=(1+90) 0.04=4.16 \space mA\)

\(I_C=I_E-I_B\)

\(I_C=4.16-0.04=4.12\space mA\)

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