Exercise:
Berechne die Widerstände R_i deren Wertangabe in den folgen Schaltungen fehlt. Die Ersatzwiderstände der Schaltungen sind: tilde R_ohm tilde R_ohm tilde R_.ohm tilde R_.ohm tilde R_ohm tilde R_ohm center circuitikz %st ROW START %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% scope draw -. to european resistor l^ohm -.; draw . to european resistor l^R_ .; draw -. to european resistor l^ohm -.; draw .---.; draw .---.; draw ---.; draw --.; scope scopexshift.cm yshiftcm draw . to european resistor l^ohm .; draw . to european resistor l^R_ .; draw -. to european resistor l^ohm -.; draw .---.; draw .---.; draw ---.; draw --.; scope scopexshift.cm yshiftcm draw . to european resistor l^R_ .; draw . to european resistor l^ohm .; draw -. to european resistor l^ohm -.; draw .---.; draw .---.; draw ---.; draw to european resistor l^ohm ; scope %nd ROW START %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% scopexshift-.cm yshift-cm draw . to european resistor l^R_ .; draw -. to european resistor l^ohm -.; draw .---.; draw .---.; draw ---.; draw to european resistor l^ohm ; draw -.-. to european resistor l^ohm -.; draw ---.; draw ---.---.-.; draw -.-.----.; draw -.--.-.; scope scopexshift.cm yshift-.cm draw . to european resistor l^ohm .; draw . to european resistor l^ohm .; draw -. to european resistor l^R_ -.; draw -. to european resistor l^ohm -.; draw ----; draw ----; draw -.---.; draw -.---.; draw .---; draw .---; draw -.---.-.; draw -.--.-.; scope scopexshift.cm yshift-.cm draw to european resistor l^ohm ; draw - to european resistor l^ohm -; draw to european resistor l^R_ ; draw ---; draw ---; draw ---.; draw to european resistor l^ohm ; scope circuitikz center

Solution:
Innerhalb einer Teilaufgabe ist Rtilde R_i der Ersatzwiderstand die übrigen Widerstände wurden wieder durchnummeriert von oben nach unten und auf gleicher Höhe von links nach rechts. abclist abc newqtyRohm newqtyRzohm newqtyRdohm % solqtyRefracR-R_R_R_-R+R_Rn-Rzn*Rdn/Rdn-Rn+Rznohm al R_ fracR_R_R_-R_ Ref fracqtyR-Rz RdRd - R + Rz ReTT abc newqtyRohm newqtyReohm newqtyRdohm % solqtyRzfracRR_R_-R - R_Rn*Rdn/Rdn-Rn - Renohm al R_ R_ - R_ Rzf fracR RdRd - R - Re RzTT abc newqtyR.ohm newqtyRe.ohm newqtyRz.ohm newqtyRv.ohm % solqtyRdfracR-R_R_R_-R+R_-R_Rn-Rzn*Rvn/Rvn-Rn+Rzn-Renohm al R_ R_ - R_ fracR_R_R_-R_ - R_ Rdf fracqtyR-Rz RvRv - R + Rz - Re RdTT abc newqtyR.ohm newqtyRe.ohm newqtyRz.ohm newqtyRdohm % solqtyRvezfracRR_R_-RRn*Rdn/Rdn-Rnohm al R_  Rvezf fracR RdRd- R RvezTTTT solqtyRvfracR_ R_-R_R_-R_+R_Rzn*Rvezn-Ren/Rzn-Rvezn+Renohm al R_ fracR_ R_R_-R_ Rvf fracRz qtyRvez - ReRz - Rvez + Re RvTT abc newqtyRohm newqtyReohm newqtyRzohm newqtyRdohm % solqtyRfdfracRR_+R_R_+R_-RRn*Ren+Rzn/Ren+Rzn-Rnohm al R_ Rfdf fracR qtyRe + RzRe + Rz - R RfdTTTT solqtyRffracR_R_R_-R_Rdn*Rfdn/Rdn-Rfdnohm al R_ Rff fracRd RfdRd - Rfd RfTT abc newqtyRohm newqtyReohm newqtyRzohm newqtyRdohm % solqtyRsqtyfracR-R_ - fracR_ - fracR_^-/Rn-Rzn - /Ren - /Rdn^-ohm al R_ Rsf qtyfracR-Rz - fracRe - fracRd^- RsTT abclist