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For the amplifier shown below, the drain current changes from 5 mA to 7 mA when the gate voltage D changed from -4.0 V to -3.7 V. The voltage gain of the amplifier is _____
Correct answer is between '-21,19'. Can you explain this answer?
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Verified Answer
For the amplifier shown below, the drain current changes from 5 mA to ...
The gain of the amplifier is given by:
Av = - gmrD
gm: trans conductance of transistor
rD: effective AC resistance seen by drain terminal
gm = 6.66 ms
rD = RD||RL = 6k||6k = 3 kΩ
Av = -6.66 × 10-3 × 3 × 103
Av = -19.98 ≈ 20
Most Upvoted Answer
For the amplifier shown below, the drain current changes from 5 mA to ...
Given information:
- Drain current changes from 5 mA to 7 mA.
- Gate voltage changes from -4.0 V to -3.7 V.
To find:
- Voltage gain of the amplifier.
Understanding the problem:
In order to find the voltage gain of the amplifier, we need to calculate the change in output voltage divided by the change in input voltage. The output voltage is proportional to the drain current, and the input voltage is proportional to the gate voltage. By finding the change in drain current and gate voltage, we can determine the voltage gain.
Solution:
Step 1: Find the change in drain current (ΔID):
ΔID = ID2 - ID1 = 7 mA - 5 mA = 2 mA
Step 2: Find the change in gate voltage (ΔVG):
ΔVG = VG2 - VG1 = -3.7 V - (-4.0 V) = 0.3 V
Step 3: Calculate the voltage gain (Av):
Av = ΔID / ΔVG
Step 4: Substitute the values and calculate the voltage gain:
Av = 2 mA / 0.3 V = 6.67 mA/V
Step 5: Convert the voltage gain to decibels (dB):
Voltage gain (dB) = 20 * log10(Av)
Step 6: Substitute the value of Av and calculate the voltage gain in decibels:
Voltage gain (dB) = 20 * log10(6.67 mA/V) ≈ 21.19 dB
Therefore, the voltage gain of the amplifier is approximately 21.19.
- Drain current changes from 5 mA to 7 mA.
- Gate voltage changes from -4.0 V to -3.7 V.
To find:
- Voltage gain of the amplifier.
Understanding the problem:
In order to find the voltage gain of the amplifier, we need to calculate the change in output voltage divided by the change in input voltage. The output voltage is proportional to the drain current, and the input voltage is proportional to the gate voltage. By finding the change in drain current and gate voltage, we can determine the voltage gain.
Solution:
Step 1: Find the change in drain current (ΔID):
ΔID = ID2 - ID1 = 7 mA - 5 mA = 2 mA
Step 2: Find the change in gate voltage (ΔVG):
ΔVG = VG2 - VG1 = -3.7 V - (-4.0 V) = 0.3 V
Step 3: Calculate the voltage gain (Av):
Av = ΔID / ΔVG
Step 4: Substitute the values and calculate the voltage gain:
Av = 2 mA / 0.3 V = 6.67 mA/V
Step 5: Convert the voltage gain to decibels (dB):
Voltage gain (dB) = 20 * log10(Av)
Step 6: Substitute the value of Av and calculate the voltage gain in decibels:
Voltage gain (dB) = 20 * log10(6.67 mA/V) ≈ 21.19 dB
Therefore, the voltage gain of the amplifier is approximately 21.19.
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For the amplifier shown below, the drain current changes from 5 mA to 7 mA when the gate voltage D changed from -4.0 V to -3.7 V. The voltage gain of the amplifier is _____Correct answer is between '-21,19'. Can you explain this answer?
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