Open-Loop Gain and Unity-Gain Frequency

The open-loop gain of an operational amplifier (Op-Amp) refers to the amplification factor of the Op-Amp when no feedback is applied. It represents the gain of the Op-Amp in an open-loop configuration. In this case, the given Op-Amp has a mid-range open-loop gain of 200,000.

The unity-gain frequency of an Op-Amp, also known as the gain-bandwidth product, refers to the frequency at which the open-loop gain of the Op-Amp drops to unity (1). In other words, it is the frequency at which the gain of the Op-Amp becomes equal to the mid-range open-loop gain divided by the magnitude of the frequency. In this case, the unity-gain frequency is given as 5MHz.

Calculating Gain-Bandwidth Product

To calculate the gain-bandwidth product, we can use the formula:

Gain-Bandwidth Product = Open-Loop Gain × Unity-Gain Frequency

Substituting the given values:

Gain-Bandwidth Product = 200,000 × 5,000,000 Hz

Simplifying the expression:

Gain-Bandwidth Product = 1,000,000,000,000 Hz

Therefore, the gain-bandwidth product of the given Op-Amp is 1,000,000,000,000 Hz or 1,000,000 MHz.

Explanation of the Answer

The gain-bandwidth product represents the product of the open-loop gain and the unity-gain frequency. It provides an estimate of the maximum gain that can be achieved at a certain frequency. In this case, the given Op-Amp has a high open-loop gain of 200,000 and a relatively low unity-gain frequency of 5MHz. Multiplying these values together gives a very high gain-bandwidth product of 1,000,000,000,000 Hz.

The gain-bandwidth product is an important parameter in determining the performance of an Op-Amp in various applications, such as amplifiers and filters. It indicates the maximum frequency at which the Op-Amp can provide a certain level of gain. If the frequency exceeds the unity-gain frequency, the gain of the Op-Amp decreases, and it may not be suitable for high-frequency applications. Therefore, a high gain-bandwidth product is desirable for applications requiring high-frequency amplification.

Overall, the gain-bandwidth product of 1,000,000,000,000 Hz indicates that the given Op-Amp can provide a high gain at relatively lower frequencies, making it suitable for a wide range of applications.