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TLV9362: Opamp Constant Current Load - AC Response

Part Number: TLV9362
Other Parts Discussed in Thread: TINA-TI

Hi, I'm working on a constant current load setup to drive some inductive loads.

When I place the TLV9362 spice model into LTSpice like this:

...I get a strange AC response like this:

This starts with a remarkably low gain of -190dB and never reaches unity for any simulated frequencies.

The transient step-response is however almost perfect:

Is this expected behaviour?

Is there an issue with the way I am simulating this circuit?

I think that I am missing something in my understanding, so any help is appreciated.