Why does a loop contract in area to minimize flux linkage?

[arkofnoah]

Homework Statement

http://img269.imageshack.us/img269/8792/screenshot20100816at003.png

Uploaded with ImageShack.us

Homework Equations

The Attempt at a Solution

The answer says that the loop will reduce in area to minimize the flux linkage, but why? using Fleming's left hand rule the magnetic force should direct radially away from the centre so why should there be any contraction in area?

 

[arkofnoah]

*bump*