Find the ftrequired for internally compensated op amps to be used in t...
-R2 ⁄ R1 = -2V⁄V
f3db = 10 MHZ ft = 10 MHZ(2 + 1) = 30 MHZ.
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Find the ftrequired for internally compensated op amps to be used in t...
Understanding the Requirements for Closed Loop Amplifiers
To design a closed-loop amplifier with a specific DC gain and bandwidth, we need to consider the gain-bandwidth product (GBP) of the operational amplifier (op-amp).
Key Concepts
- DC Gain: Given as -2 V/V, which indicates an inverting amplifier configuration.
- 3dB Bandwidth: Required bandwidth is 10 MHz.
Calculating the Required Gain-Bandwidth Product
The gain-bandwidth product (GBP) is a constant for a given op-amp. It can be expressed as:
GBP = Gain × Bandwidth
In this case, the gain is -2 (absolute value is considered):
- Gain (|A|) = 2 V/V
- Bandwidth (BW) = 10 MHz
Thus, the required GBP will be:
GBP = 2 V/V × 10 MHz = 20 MHz
Choosing the Appropriate Op-Amp
For an op-amp to successfully implement the closed-loop amplifier, its GBP must be equal to or greater than the calculated value of 20 MHz.
The required frequency for internally compensated op-amps typically needs to be higher than the desired bandwidth to account for the phase margin and stability.
Final Calculation for Required Frequency
To ensure stability and accommodate the closed-loop gain, we can estimate a safe operating frequency:
- A common rule of thumb is to use a frequency that is 1.5 to 2 times the GBP.
Therefore,
Required Frequency = 2 × 10 MHz = 20 MHz
Considering additional safety margins, a frequency of about 30 MHz is recommended for stability.
Conclusion
Based on these calculations, the correct option for the required frequency is:
Option 'D': 30 MHz