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If the Q of a single stage single tuned amplifier is doubled, the bandwidth will
- a)remain the same
- b)become half
- c)become double
- d)become four times
Correct answer is option 'B'. Can you explain this answer?
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If the Q of a single stage single tuned amplifier is doubled, the band...
. If Q is doubles, bandwidth becomes half.Most Upvoted Answer
If the Q of a single stage single tuned amplifier is doubled, the band...
Understanding Q Factor and Bandwidth
The quality factor (Q) of a tuned amplifier is a measure of its selectivity and bandwidth. It defines how well the circuit can select a narrow frequency range. A higher Q indicates a narrower bandwidth, while a lower Q indicates a wider bandwidth.
Impact of Doubling Q
When the Q of a single stage single tuned amplifier is doubled, the effect on bandwidth can be analyzed using the relationship between Q and bandwidth (BW):
Calculating Bandwidth Change
1. **Initial Conditions:**
- Let Q1 = initial Q
- BW1 = f0 / Q1
2. **After Doubling Q:**
- Q2 = 2 * Q1
- BW2 = f0 / Q2 = f0 / (2 * Q1) = BW1 / 2
This shows that when the Q factor is doubled, the bandwidth becomes half of its original value.
Conclusion
Thus, with a doubling of the Q factor in a single stage single tuned amplifier, the bandwidth does indeed become half, which confirms that the correct answer to the question is option 'B'.
The quality factor (Q) of a tuned amplifier is a measure of its selectivity and bandwidth. It defines how well the circuit can select a narrow frequency range. A higher Q indicates a narrower bandwidth, while a lower Q indicates a wider bandwidth.
Impact of Doubling Q
When the Q of a single stage single tuned amplifier is doubled, the effect on bandwidth can be analyzed using the relationship between Q and bandwidth (BW):
- Formula: BW = f0 / Q
- Where:
- BW = Bandwidth
- f0 = Center frequency
- Q = Quality factor
Calculating Bandwidth Change
1. **Initial Conditions:**
- Let Q1 = initial Q
- BW1 = f0 / Q1
2. **After Doubling Q:**
- Q2 = 2 * Q1
- BW2 = f0 / Q2 = f0 / (2 * Q1) = BW1 / 2
This shows that when the Q factor is doubled, the bandwidth becomes half of its original value.
Conclusion
Thus, with a doubling of the Q factor in a single stage single tuned amplifier, the bandwidth does indeed become half, which confirms that the correct answer to the question is option 'B'.
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If the Q of a single stage single tuned amplifier is doubled, the bandwidth willa)remain the sameb)become halfc)become doubled)become four timesCorrect answer is option 'B'. Can you explain this answer?
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