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The nominal quiescent collector current of a transistor is 1.2 mA. If the range of β for this transistor is 80 ≤ β ≤ 120 and if the quiescent collector current changes by +-10 percent, the range in value for rπ is
  • a)
    1.73 kΩ < rπ < 2.59 kΩ
  • b)
    1.93 kΩ < rπ <  2.59 kΩ
  • c)
    1.73 kΩ < rπ < 2.59 kΩ
  • d)
    1.56 kΩ  < rπ <  2.88 kΩ
Correct answer is option 'D'. Can you explain this answer?
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The nominal quiescent collector current of a transistor is 1.2 mA. If ...
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The nominal quiescent collector current of a transistor is 1.2 mA. If ...
Given Data:
Nominal quiescent collector current = 1.2 mA
Range of β for the transistor = 80 to 120
Change in quiescent collector current = ±10%

Calculation:
1. Calculate the range of quiescent collector current:
Minimum quiescent collector current = 1.2 mA - 10% of 1.2 mA
= 1.2 mA - 0.12 mA
= 1.08 mA
Maximum quiescent collector current = 1.2 mA + 10% of 1.2 mA
= 1.2 mA + 0.12 mA
= 1.32 mA
2. Calculate the corresponding range for β:
Minimum β = 1.08 mA / 1.2 mA * 80
= 72
Maximum β = 1.32 mA / 1.2 mA * 120
= 132
3. Calculate the range in value for r:
Minimum value for r = 1 / 72
= 1.56 kΩ
Maximum value for r = 1 / 132
= 2.88 kΩ

Conclusion:
Therefore, the range in value for r is 1.56 kΩ to 2.88 kΩ. Hence, option D (1.56 kΩ to 2.88 kΩ) is the correct answer.
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The nominal quiescent collector current of a transistor is 1.2 mA. If the range of βfor this transistor is 80 ≤β≤120 and if the quiescent collector current changes by +-10 percent, the range in value for rπ isa)1.73 kΩ<rπ<2.59 kΩb)1.93 kΩ<rπ<2.59 kΩc)1.73 kΩ<rπ<2.59 kΩd)1.56 kΩ<rπ<2.88 kΩCorrect answer is option 'D'. Can you explain this answer?
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