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https://texercises.com/exercise/ersatzwiderstand-und-einzelwiderstand-3/
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The following quantities appear in the problem: elektrischer Widerstand \(R\) /
The following formulas must be used to solve the exercise: \(\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} \quad \) \(R = R_1 + R_2 \quad \)
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Exercise:
Berechne den Ersatzwiderstand der links abgebildeten Schaltung sowie den fehlen Widerstand R in der rechten Schaltung im Wissen dass der Ersatzwiderstand der rechten Schaltung RrO beträgt. Es gilt ausserden R_RaO R_RbO R_RcO R_RdO und R_ReO sowie R_wRwO R_xRxO R_yRyO und R_zRzO. center usetikzlibrarycircuits.ee.IEC tikzpicturecircuit ee IEC scope draw to battery l^U_ ; draw --; draw to resistorinfoR_ ; draw to resistorinfoR_ ; draw to resistorinfo'R_ ; draw --; draw to resistorinfo'R_ ; draw to resistorinfo'R_ ; scope scopexshiftcm draw . to battery l_U_ .; draw .--; draw to resistorinfoR_w ; draw to resistorinfoR ; draw --; draw to resistorinfoR_x ; draw to resistorinfoR_y ; draw to resistorinfo'R_z ; draw --.; scope tikzpicture center

Solution:
abcliste abc R_L leftfracR_+fracR_+R_+fracR_right^- + R_ Rl approx RlS resultRlP abc R_uparrow leftfracR-fracR_yright^- Ro R_uparrow' R_uparrow-R_x-R_w Rop R rightfracR_uparrow'-fracR_zleft^- R approx RS resultRP abcliste
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Exercise:
Berechne den Ersatzwiderstand der links abgebildeten Schaltung sowie den fehlen Widerstand R in der rechten Schaltung im Wissen dass der Ersatzwiderstand der rechten Schaltung RrO beträgt. Es gilt ausserden R_RaO R_RbO R_RcO R_RdO und R_ReO sowie R_wRwO R_xRxO R_yRyO und R_zRzO. center usetikzlibrarycircuits.ee.IEC tikzpicturecircuit ee IEC scope draw to battery l^U_ ; draw --; draw to resistorinfoR_ ; draw to resistorinfoR_ ; draw to resistorinfo'R_ ; draw --; draw to resistorinfo'R_ ; draw to resistorinfo'R_ ; scope scopexshiftcm draw . to battery l_U_ .; draw .--; draw to resistorinfoR_w ; draw to resistorinfoR ; draw --; draw to resistorinfoR_x ; draw to resistorinfoR_y ; draw to resistorinfo'R_z ; draw --.; scope tikzpicture center

Solution:
abcliste abc R_L leftfracR_+fracR_+R_+fracR_right^- + R_ Rl approx RlS resultRlP abc R_uparrow leftfracR-fracR_yright^- Ro R_uparrow' R_uparrow-R_x-R_w Rop R rightfracR_uparrow'-fracR_zleft^- R approx RS resultRP abcliste
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Attributes & Decorations
Topic
Tags
elektrizitätslehre, ersatzwiderstand, gleichstromlehre, physik, widerstand
Difficulty
(3, default)
Points
4 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
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