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The current gain of a transistor in a common emitter configuration is 50. If the emitter current is 5.5 mA, find the base current.
- a)0.203 A
- b)0.107 mA
- c)0.107 A
- d)0.203 mA
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The current gain of a transistor in a common emitter configuration is ...
The expression for current gain is given as:
β = I0 / IB
IC = 50IB
Since, IE = IB+IC
⇒ IE = IB + 50IB
IE = 51IB
IB = IE51 = 5.551 = 0.107 mA
β = I0 / IB
IC = 50IB
Since, IE = IB+IC
⇒ IE = IB + 50IB
IE = 51IB
IB = IE51 = 5.551 = 0.107 mA
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The current gain of a transistor in a common emitter configuration is ...
Given information:
- Current gain (β) = 50
- Emitter current (IE) = 5.5 mA
To find:
- Base current (IB)
Formula:
The relationship between the collector current (IC), base current (IB), and emitter current (IE) in a common emitter configuration is given by the equation:
IC = β * IB
Solution:
1. Substitute the given values into the equation:
IC = β * IB
5.5 mA = 50 * IB
2. Rearrange the equation to solve for IB:
IB = 5.5 mA / 50
3. Convert the units to match the options provided:
IB = 5.5 mA / 50
IB = 0.11 mA
4. Convert the value to the correct unit:
IB = 0.11 mA * (1 A / 1000 mA)
IB = 0.11 mA * 0.001 A/mA
IB = 0.11 * 0.001 A
IB = 0.00011 A
5. Convert the value to the correct format:
IB = 0.11 mA = 0.00011 A
Therefore, the base current (IB) is approximately 0.107 mA (or 0.00011 A).
The correct answer is option B) 0.107 mA.
- Current gain (β) = 50
- Emitter current (IE) = 5.5 mA
To find:
- Base current (IB)
Formula:
The relationship between the collector current (IC), base current (IB), and emitter current (IE) in a common emitter configuration is given by the equation:
IC = β * IB
Solution:
1. Substitute the given values into the equation:
IC = β * IB
5.5 mA = 50 * IB
2. Rearrange the equation to solve for IB:
IB = 5.5 mA / 50
3. Convert the units to match the options provided:
IB = 5.5 mA / 50
IB = 0.11 mA
4. Convert the value to the correct unit:
IB = 0.11 mA * (1 A / 1000 mA)
IB = 0.11 mA * 0.001 A/mA
IB = 0.11 * 0.001 A
IB = 0.00011 A
5. Convert the value to the correct format:
IB = 0.11 mA = 0.00011 A
Therefore, the base current (IB) is approximately 0.107 mA (or 0.00011 A).
The correct answer is option B) 0.107 mA.
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The current gain of a transistor in a common emitter configuration is 50. If the emitter current is 5.5 mA, find the base current.a)0.203 Ab)0.107 mAc)0.107 Ad)0.203 mACorrect answer is option 'B'. Can you explain this answer?
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