I am trying to design an op-amp integrator for a Rogowski Coil based current sensor. The op amp I use is THS4631D from Texas Instruments. It has a slew rate of 1000 V/us according to the datasheet. However when I am using it as an integrator the output voltage slews at a much lesser dv/dt and distorts the current waveform. I also see that the current measured at the output terminal hits the current limit of 95 mA. Does the integration capacitor affect the slew rate of an op-amp in any way? If yes, what might be a solution?
I am also adding the response with 1 nF capacitor and 200 ohm resistance. I do not hit the current limit as rightly pointed out by @Andy aka. But the waveform is still distorted at the top edge where the transition appears sharper.
A response with 0.1 nF capacitor and 2k resistor makes the response even sharper. How does making the integration capacitor smaller affect this transition?