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We build a single vertical straight magnetic fluxtube spanning the solarphotosphere and the transition region which does not expand with height. Weassume that the fluxtube containing twisted magnetic fields is inmagnetohydrostatic equilibrium within a realistic stratified atmosphere subjectto solar gravity. Incorporating specific forms of current density and gaspressure in the Grad--Shafranov equation, we solve the magnetic flux function,and find it to be separable with a Coulomb wave function in radial directionwhile the vertical part of the solution decreases exponentially. We employimproved fluxtube boundary conditions and take a realistic ambient externalpressure for the photosphere to transition region, to derive a family ofsolutions for reasonable values of the fluxtube radius and magnetic fieldstrength at the base of the axis that are the free parameters in our model. Wefind that our model estimates are consistent with the magnetic field strengthand the radii of Magnetic bright points (MBPs) as estimated from observations.We also derive thermodynamic quantities inside the fluxtube.

Model of a fluxtube with a twisted magnetic field in the stratified solar atmosphere