In a fixed bias circuit silicon n-p-n transistor (CE) with β = 90 is used. If VCC = 15 V, R= 3 kΩ and RB = 1 MΩ, the VCE at Q-point is given as:  

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KVS TGT WET (Work Experience Teacher) 23 Dec 2018 Official Paper
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  1. 12.41 V
  2. 7.5 V
  3. 10.0 V
  4. 11.6 V

Answer (Detailed Solution Below)

Option 4 : 11.6 V
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Detailed Solution

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Concept:

Fixed Base Biasing a Transistor:
The circuit shown is called as a “fixed base bias circuit”, because the transistor's base current, IB remains constant for given values of Vcc, and therefore the transistor operating point must also remain fixed.
This two-resistor biasing network is used to establish the initial operating region of the transistor using a fixed current bias.
F4 Vinanti Engineering 21.12.22 D5
 
Calculation:
Given;
 β = 90  
VCC = 15 V 
R= 3 kΩ 
RB = 1 MΩ 
Then
\(I_{B} = \frac{V_{CC}- V_{BE}}{R_{B}}=\frac{15-0.7}{1 M\Omega} =14.3 \, \mu A\)
and 
\(I_{C}=\beta I_{B} = 90 \times 14.3 = 1287 \, \mu A=1.287 \, mA\)
Therefore;
\(V_{CE} = V_{CC} - I_{C}R_{C} = 15 - (1.287 \times 3)=11.137\,V \approx 11.6 \, V\)
 
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