An op amp has a gain bandwidth product of 5 MHz, at what frequency the gain becomes unity?5000 kHz(5000×2) kHz1000 kHz(1/5000) kHz

Break Down the Problem

1. Determine the gain bandwidth product (GBW) of the op-amp, which is given as 5 MHz.
2. Understand that the gain bandwidth product (GBW) is the product of the gain (A) and the frequency (f).
3. Since we want to find the frequency at which the gain becomes unity (A = 1), the formula can be expressed as: $\text{GBW} = A \cdot f$ Thus, for unity gain, $\text{GBW} = 1 \cdot f$

Relevant Concepts

1. The gain-bandwidth product is a constant for a given operational amplifier.
2. To find the frequency at which the gain is one, we can rearrange the equation as follows: $f = \text{GBW}$ Hence, if GBW = 5 MHz, then: $f = 5 \text{ MHz}$

Analysis and Detail

1. Convert the gain bandwidth product from MHz to kHz for easier comparison with the options: $5 \text{ MHz} = 5000 \text{ kHz}$
2. This means that the frequency at which the gain of the op-amp becomes unity is 5000 kHz.

Verify and Summarize

To verify, substituting back into the formula:

• When $f = 5000 \text{ kHz}$ and $A = 1$: $\text{GBW} = A \cdot f = 1 \cdot 5000 \text{ kHz} = 5000 \text{ kHz}$ This confirms the calculations are accurate.

Final Answer

The frequency at which the gain of the op-amp becomes unity is 5000 kHz.