Exercise:
Bestimme für die folgen Gleichstromkreise den Ersatzwiderstand R_mathrmers die Spannung über jedem sowie den Strom durch jeden Widerstand. Nimm dabei U_pq.V an. vspacemm minipagec.textwidth centernoindent tikzpicture nodeleft at -. U_; drawthick -..--..; drawthick -.-.--.-.; drawthick .--.--..--.--; drawthick ..--.--; drawthick -.---.---.---.--.--..--.--; drawthick --.--..; drawthick -. rectangle .; drawthick . rectangle .; node at pqkOmega; node at pqOmega; tikzpicture center minipage minipagec.textwidth centernoindent tikzpicture nodeleft at -. U_; drawthick -..--..; drawthick -.-.--.-.; drawthick .--.--..--.--; drawthick ..--.--; drawthick -.---.---.--.-.--..--.; drawthick .--..--.--; drawthick --.--..; drawthick -. rectangle .; drawthick . rectangle .; drawthick . rectangle .; node at pqOmega; node at pqOmega; node at . pqOmega; tikzpicture center minipage vspacemm minipagec.textwidth center noindent tikzpicture nodeleft at -. U_; drawthick -..--..; drawthick -.-.--.-.; drawthick .--.--..--.--; drawthick ..--.--.; drawthick .----.; drawthick .----.; drawthick -.---.---.--.-.--..--.; drawthick --.; drawthick .-. rectangle ..; drawthick . rectangle .; drawthick .. rectangle ..; node at pqOmega; node at . pqOmega; node at . pqOmega; tikzpicture center minipage minipagec.textwidth centernoindent tikzpicture nodeleft at -. U_; drawthick -..--..; drawthick -.-.--.-.; drawthick .--.--..; drawthick -.---.---.--.-.--..--.; drawthick ..--..--..; drawthick ..--.--; drawthick --.--..--.; drawthick ..--..--..; drawthick ..--..--; drawthick ..--.--; drawthick --.--.--; drawthick . rectangle .; drawthick -. rectangle .; drawthick . rectangle .; drawthick . rectangle .; node at . pqOmega; node at pqOmega; node at pqOmega; node at pqOmega; tikzpicture center minipage vspacemm minipagec.textwidth centernoindent tikzpicture nodeleft at -. U_; drawthick -..--..; drawthick -.-.--.-.; drawthick .--.--..; drawthick -.---.; drawthick -.---.---; drawthick -.---; drawthick ..--.; drawthick .--.--; drawthick .--; drawthick ..--..--.; drawthick .--..--..; drawthick .. rectangle ..; drawthick . rectangle .; drawthick .- rectangle .; drawthick .- rectangle .; drawthick . rectangle ; node at . . pqOmega; node at . pqOmega; node at . pqOmega; node at . rotate pqOmega; node at . rotate pqOmega; tikzpicture center minipage minipagec.textwidth centernoindent tikzpicture nodeleft at -. U_; drawthick -..--..; drawthick -.-.--.-.; drawthick .--.--..; drawthick -.---.; drawthick -.---.---; drawthick -.---; drawthick ..--.; drawthick .--.--; drawthick ..--..; drawthick ..--.; drawthick .---.-.; drawthick ..--.-.; drawthick .--; drawthick . rectangle .; drawthick .- rectangle .; drawthick .- rectangle .; drawthick .- rectangle .; node at . pqOmega; node at . rotate pqOmega; node at . rotate pqOmega; node at . . rotate pqOmega; tikzpicture center minipage vspacemm

Solution:
abcliste abc Rerspq.Omega ItotfracU_Rerspq.ApqmA I_fracU_R_ pq.A pq.mA I_fracU_R_ pq.A pq.mA abc Rerspq.Omega ItotfracU_Rerspq.ApqmA U_R_I_R_Itotpq.V approx pq.V U_U_U-U_pq.V I_fracU_R_ pq.Apq.mA I_fracU_R_ pq.Apq.mA abc Rerspq.Omega ItotfracU_Rerspq.Apq.mA I_fracU_R_pq.Apq.mA I_I_Itot-I_pq.ApqmA abc Rerspq.Omega Itotpq.ApqmA U_R_I_ R_Itotpq.V U_U_U_pq.V I_I_fracU_R_pq.Apq.mA I_pq.Apq.mA abc Rerspq.Omega ItotfracU_Rerspq.Apq.mA U_R_Itot pq.V U_rightarrowU_pq.V I_fracU_R_pq.Apq.mA I_Itot-I_pq.mA U_R_I_pq.V U_U_U_-U_pq.V I_fracU_R_pq.Apq.mA I_fracU_R_pq.Apq.mA abc Rerspq.Omega ItotfracU_Rerspq.ApqmA I_fracU_R_pq.Apq.mA I_fracU_R_pq.Apq.mA I_fracU_R_pq.ApqmA abcliste