a moving coil responds to AC and DC. With DC it moves against the coiled spring until the spring balances the torque from the current.
With AC it moves a very little bit in one direction and when the current reverses it goes the other way. So it stays on zero and gets a little blurred. Quite visible on the old 25 hertz systems, but much less on 50/60 Hz. Lighter needles are more compliant and move more.
The 3rd figure in the link I gave in the post above shows a form of moving iron meter. Here it is again, for your convenience:
As you will see, there is a fixed coil through which the current to be measured flows, and an iron vane attached to the pointer. The iron doesn't care what type of magnetic field is attracting it - AC or DC - but the higher the current, the greater the attractive force, so the greater the deflection of the pointer. There is a spring (not shown) which keeps the pointer at 0 when no current flows.
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