if you will straighten the shortened coil of wire,how will you compare the magnitude of the compass needle deflection at the center of the previous current-carrying coil,to the compass needle deflection near the just straightened current-carrying conductor?why?
The magnetic field raises in direct amount to the number of turns/loops in a coil. Therefore, the compass needle (at the center of the coil of the wire), turns more than the compass needle about a straight wire.