A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil:
(1) decreases by a factor of 9
(2) increases by a factor of 27
(3) increases by a factor of 3
(4) decreases by a factor of 93