9. Figure 12–62 shows the output voltage of an op-amp in response to a step input. What is the slew rate? FIGURE 12-62 V out +12 V 15 µs -12 V – 11. Identify each of the op-amp configurations in Figure 12–63.
9. Figure 12–62 shows the output voltage of an op-amp in response to a step input. What is the slew rate? FIGURE 12-62 V out +12 V 15 µs -12 V – 11. Identify each of the op-amp configurations in Figure 12–63.
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![**Transcription for Educational Website:**
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**Understanding Op-Amp Slew Rate**
**Problem 9:** Figure 12-62 illustrates the output voltage of an operational amplifier (op-amp) in response to a step input. The question posed is: What is the slew rate?
**Description of Figure 12-62:**
The figure presents a graph with the output voltage \( V_{\text{out}} \) on the y-axis and time \( t \) on the x-axis. The graph is marked from -12 V to +12 V for the output voltage and from 0 to 15 microseconds (\( \mu s \)) for time.
The blue line in the graph depicts a linear increase of voltage from -12 V to +12 V over a period of 15 microseconds, illustrating a response to the step input.
**Concept Explanation:**
The *slew rate* of an op-amp is defined as the maximum rate of change of its output voltage and is typically expressed in volts per microsecond (V/μs). It determines how quickly the op-amp can respond to rapid changes in the input signal.
**Calculation:**
To find the slew rate from the graph:
1. **Determine the Change in Voltage (\( \Delta V \))**: The voltage changes from -12 V to +12 V, which is a total change of \( 24 \, \text{V} \) over the linear segment of the graph.
2. **Determine the Time Interval (\( \Delta t \))**: The time duration for this change is 15 μs.
3. **Calculate the Slew Rate**:
\[
\text{Slew Rate} = \frac{\Delta V}{\Delta t} = \frac{24\, \text{V}}{15\, \mu s} = 1.6\, \text{V/μs}
\]
Thus, the slew rate of this op-amp is \( 1.6 \, \text{V/μs} \).
**Further Learning:**
Understanding the slew rate is crucial in applications requiring fast response times, such as in audio and RF circuits, where high-frequency signals need to be amplified without distortion.
**Activity 11:** Identify each of the op-amp configurations in Figure 12-63.
---
This explanation supports learners in visualizing the relationship between the time it takes for an](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa738f338-4b97-4795-af96-9c8545b72d67%2F59085638-6390-40d7-95a8-2d381aef435b%2F97rlsii_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
---
**Understanding Op-Amp Slew Rate**
**Problem 9:** Figure 12-62 illustrates the output voltage of an operational amplifier (op-amp) in response to a step input. The question posed is: What is the slew rate?
**Description of Figure 12-62:**
The figure presents a graph with the output voltage \( V_{\text{out}} \) on the y-axis and time \( t \) on the x-axis. The graph is marked from -12 V to +12 V for the output voltage and from 0 to 15 microseconds (\( \mu s \)) for time.
The blue line in the graph depicts a linear increase of voltage from -12 V to +12 V over a period of 15 microseconds, illustrating a response to the step input.
**Concept Explanation:**
The *slew rate* of an op-amp is defined as the maximum rate of change of its output voltage and is typically expressed in volts per microsecond (V/μs). It determines how quickly the op-amp can respond to rapid changes in the input signal.
**Calculation:**
To find the slew rate from the graph:
1. **Determine the Change in Voltage (\( \Delta V \))**: The voltage changes from -12 V to +12 V, which is a total change of \( 24 \, \text{V} \) over the linear segment of the graph.
2. **Determine the Time Interval (\( \Delta t \))**: The time duration for this change is 15 μs.
3. **Calculate the Slew Rate**:
\[
\text{Slew Rate} = \frac{\Delta V}{\Delta t} = \frac{24\, \text{V}}{15\, \mu s} = 1.6\, \text{V/μs}
\]
Thus, the slew rate of this op-amp is \( 1.6 \, \text{V/μs} \).
**Further Learning:**
Understanding the slew rate is crucial in applications requiring fast response times, such as in audio and RF circuits, where high-frequency signals need to be amplified without distortion.
**Activity 11:** Identify each of the op-amp configurations in Figure 12-63.
---
This explanation supports learners in visualizing the relationship between the time it takes for an
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