GATE 2015 EE (EE2) – Question 22
The transistor is active and initially VC=2 V. To obtain VC=4 V, RC is replaced by RC′. Find RC′/RC.

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Show answer and explanation
Correct answer: 0.74 to 0.76
Explanation
The base bias is supplied through RB from the fixed 10 V rail. Under the constant-β active-region model, replacing the collector resistor does not change base or collector current.
Initially the collector resistor drops 10−2=8 V. Finally it must drop 10−4=6 V at the same current. Therefore RC′/RC=6/8=**0.75**, within 0.74–0.76.
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