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 coil, to the compass needle deflection near the just straightened current- carrying conductor? and 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.