Question:
In an operational amplifier, slew rate limitation affects:
In an operational amplifier, slew rate limitation affects:
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Slew rate distortion is explicitly tied to high frequency large signals (\(2\pi f V_m > SR\)). Small signals do not hit this slope limit even at high frequencies because their peak amplitude \(V_m\) is small.
Updated On: Jun 23, 2026
- High frequency large signal response
- Input offset
- Bandwidth only
- DC gain
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The Correct Option is A
Solution and Explanation
Concept:
The Slew Rate (\(SR\)) of an operational amplifier (op-amp) represents the maximum possible rate of change of its output voltage with respect to time. It is mathematically defined as:
\[
SR = \max\left(\left|\frac{dv_{\text{out}}(t)}{dt}\right|\right)
\]
Slew rate limitations arise from the finite internal driving currents available to charge the internal frequency compensation capacitor (usually denoted as \(C_c\)) inside the op-amp's internal circuitry. If an input signal demands an output change faster than the slew rate can provide, the output distorts, transforming sinusoidal waves into triangular shapes.
Step 1: Deriving the mathematical dependency on frequency and amplitude.
Let us consider a large sinusoidal output voltage signal operating at peak amplitude \(V_m\) and cyclic frequency \(f\): \[ v_{\text{out}}(t) = V_m \sin(2\pi f t) \] To evaluate the rate of change of this output signal, we compute its time derivative: \[ \frac{dv_{\text{out}}(t)}{dt} = 2\pi f V_m \cos(2\pi f t) \] The maximum rate of change occurs when the cosine function reaches its peak value of 1: \[ \max\left(\left|\frac{dv_{\text{out}}(t)}{dt}\right|\right) = 2\pi f V_m \]
Step 2: Correlating with the physical limitation.
To guarantee that the output waveform reproduces the input without undergoing slew-rate distortion, the maximum required rate of change must remain below the physical slew rate of the device: \[ 2\pi f V_m \le SR \] This expression highlights that distortion is driven by both high frequencies (\(f\)) and large signal amplitudes (\(V_m\)). If either parameter increases past this threshold, the op-amp cannot keep up, limiting its large-signal performance. This matches Option (A).
Step 1: Deriving the mathematical dependency on frequency and amplitude.
Let us consider a large sinusoidal output voltage signal operating at peak amplitude \(V_m\) and cyclic frequency \(f\): \[ v_{\text{out}}(t) = V_m \sin(2\pi f t) \] To evaluate the rate of change of this output signal, we compute its time derivative: \[ \frac{dv_{\text{out}}(t)}{dt} = 2\pi f V_m \cos(2\pi f t) \] The maximum rate of change occurs when the cosine function reaches its peak value of 1: \[ \max\left(\left|\frac{dv_{\text{out}}(t)}{dt}\right|\right) = 2\pi f V_m \]
Step 2: Correlating with the physical limitation.
To guarantee that the output waveform reproduces the input without undergoing slew-rate distortion, the maximum required rate of change must remain below the physical slew rate of the device: \[ 2\pi f V_m \le SR \] This expression highlights that distortion is driven by both high frequencies (\(f\)) and large signal amplitudes (\(V_m\)). If either parameter increases past this threshold, the op-amp cannot keep up, limiting its large-signal performance. This matches Option (A).
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