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

1. Break Down the Problem

To find the frequency at which the gain of the op amp becomes unity (1), we will use the relationship between gain, bandwidth, and gain-bandwidth product.

2. Relevant Concepts

The gain-bandwidth product (GBP) is defined as: $\text{GBP} = \text{Gain} \times \text{Bandwidth}$ Given that the GBP is 2 MHz and we want to find the frequency at which the gain is unity (1), we can set up the equation as follows: $\text{GBP} = 1 \times f$ where $f$ is the frequency at which the gain is 1.

3. Analysis and Detail

Substituting the value of GBP into the equation: $2 \text{ MHz} = 1 \times f$ From this, we can deduce that: $f = 2 \text{ MHz}$ Converting MHz to kHz: $2 \text{ MHz} = 2000 \text{ kHz}$

4. Verify and Summarize

The calculations are confirmed as follows:

• The gain-bandwidth product is given as 2 MHz.
• For a gain of 1, the frequency must match the GBP, hence $f = 2 \text{ MHz}$ or $2000 \text{ kHz}$.

Final Answer

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