21/51 4.3 Relative Displacement:Translational and Rotational IV.Differential Transformers 2 M 8 Figure 4.18 LVDT Circuit Analysis dip es=es1 -es2=(M1 -M2)at (4.25) 22/51 4.3 Relative Displacement:Translational and Rotational IV.Differential Transformers eo es=(M1-M2)LDe (4.25) When voltage-measuring device has input resistance of Rm,the transfer function will be: eo(D)= Rm(M1-M2)D eex [(M1-Mz)2+LpLs]D2+[Lp(Rs+Rm)+LsRpJD+(Rs+Rm)Rp (4.31)4.3 Relative Displacement: Translational and Rotational IV. Differential Transformers Figure 4.18 LVDT Circuit Analysis ௦ ௦ଵ ௦ଶ ଵ ଶ ௗ௜೛ ௗ௧ (4.25) 21/51 4.3 Relative Displacement: Translational and Rotational IV. Differential Transformers ଴ ୱ ଵ ଶ ୈ ୐ౌୈାୖౌ ୣ୶ (4.25) When voltage-measuring device has input resistance of Rm, the transfer function will be: ୣబ ୣ౛౮ D = ୖౣ(୑భି୑మ)ୈ (୑భି୑మ)మା୐ౌ୐౩ ୈమା ୐ౌ ୖ౩ାୖౣ ା୐౩ୖ౦ ୈା ୖ౩ାୖౣ ୖ౦ (4.31) 22/51