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Fig. 3

image

Profiles of the magnetic field magnitude B, magnetic field components By and Bz, and the δ angle along the x axis for a toroidal flux rope with the Tsuji (solid lines), Miller & Turner (dashed lines), and modified Miller & Turner (dotted lines) solutions (α> 0). The Bx component is zero for all solutions, therefore, it is not shown. Magnetic field is scaled by maximum value inside the respective flux rope. The δ angle, the angle between B and rot B, indicates how the force-free condition is fulfilled; this angle is zero for the Tsuji solution. Two columns are plotted for two aspect ratios, 2 (left) and 1.2 (right).

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