An op amp has a gain bandwidth product of 2 MHz; at what frequency the gain becomes unity?(2000×2) kHz(1/2000) kHz1000 kHz2000 kHz

1. Break Down the Problem

We need to find the frequency at which the gain of an operational amplifier (op amp) becomes unity (1). The gain-bandwidth product (GBP) of the op amp is given as 2 MHz.

2. Relevant Concepts

The gain-bandwidth product is defined as: $\text{GBP} = \text{Gain} \times \text{Bandwidth}$ At unity gain (Gain = 1), the bandwidth is equal to the gain-bandwidth product.

3. Analysis and Detail

1. Given that the gain-bandwidth product is 2 MHz: $\text{GBP} = 2 \, \text{MHz}$
2. At unity gain, the gain is: $\text{Gain} = 1$
3. Thus, using the formula for GBP: $\text{Bandwidth} = \frac{\text{GBP}}{\text{Gain}} = \frac{2 \, \text{MHz}}{1} = 2 \, \text{MHz}$

4. Verify and Summarize

The unity gain frequency is therefore 2 MHz. To convert this into kHz: $2 \, \text{MHz} = 2000 \, \text{kHz}$

Final Answer

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