An op amp has a gain bandwidth product of 2 MHz; at what frequency the gain becomes unity?1000 kHz2000 kHz(2000×2) kHz(1/2000) kHz

To solve the problem, we'll follow these steps:

1. Break Down the Problem

We need to find the frequency at which the gain of an operational amplifier (op-amp) becomes unity (1). Given that the gain bandwidth product (GBP) is 2 MHz, we know that:

$GBP = Gain \times Frequency$

When the gain is 1 (unity gain), the frequency can be calculated using the formula:

$Frequency = \frac{GBP}{Gain}$

2. Relevant Concepts

The gain bandwidth product (GBP) is a constant for a given op-amp, meaning that as you increase the gain, the bandwidth (range of frequencies) decreases, and vice versa.

3. Analysis and Detail

• Given:
  • GBP = 2 MHz = $2 \times 10^6$ Hz
  • Gain = 1 (for unity gain)

Using the formula:

$Frequency = \frac{2 \times 10^6 \, \text{Hz}}{1} = 2 \times 10^6 \, \text{Hz} = 2000 \, \text{kHz}$

4. Verify and Summarize

By verifying the calculations, we see that at a gain of 1, the frequency is indeed equal to the gain bandwidth product since the GBP does not change.

Final Answer

The frequency at which the gain becomes unity is 2000 kHz.