▁distributions ▁of ▁charges ▁and ▁curr ents ▁are ▁related ▁to ▁the ▁electric ▁and ▁magnetic ▁fields ▁by ▁a ▁linear ▁transformation . ▁Thus , ▁the ▁super position ▁principle ▁can ▁be ▁used ▁to ▁simplify ▁the ▁computation ▁of ▁fields ▁which ▁arise ▁from ▁a ▁given ▁charge ▁and ▁current ▁distribution . ▁The ▁principle ▁also ▁applies ▁to ▁other ▁linear ▁differential ▁equations ▁ar ising ▁in ▁physics , ▁such ▁as ▁the ▁heat ▁equation . ▁ ▁In ▁mechanical ▁engineering , ▁super position ▁is ▁used ▁to ▁solve ▁for ▁beam ▁and ▁structure ▁def lections ▁of ▁combined ▁loads ▁when ▁the ▁effects ▁are ▁linear ▁( i . e ., ▁each ▁load ▁does ▁not ▁affect ▁the ▁results ▁of ▁the ▁other ▁loads , ▁and ▁the ▁effect ▁of ▁each ▁load ▁does ▁not ▁significantly ▁alter ▁the ▁geometry ▁of ▁the ▁struct ural ▁system ). ▁Mode ▁super position ▁method ▁uses ▁the ▁natural ▁frequencies ▁and ▁mode ▁shapes ▁to ▁character ize ▁the ▁dynamic ▁response ▁of ▁a ▁linear ▁structure . ▁ ▁In ▁hydro ge ology , ▁the ▁super position ▁principle ▁is ▁applied ▁to ▁the ▁draw down ▁of ▁two ▁or ▁more ▁water ▁well s ▁p ump ing ▁in ▁an ▁ideal ▁aqu ifer . ▁This ▁principal ▁is ▁used ▁in ▁the ▁analyt ic ▁element ▁method ▁to ▁develop ▁analyt ical ▁elements ▁capable ▁of ▁being ▁combined ▁in ▁a ▁single ▁model . ▁ ▁In ▁process ▁control , ▁the ▁super position ▁principle ▁is ▁used ▁in ▁model ▁predict ive ▁control . ▁ ▁The ▁super position ▁principle ▁can ▁be ▁applied ▁when ▁small ▁devi ations ▁from ▁a ▁known ▁solution ▁to ▁a ▁non linear ▁system ▁are ▁analyz ed ▁by ▁linear ization . ▁ ▁In ▁music , ▁the or