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6.7.4: Kirchhoff’s Rules
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/06%3A_Resistive_Networks/6.07%3A_Circuits_Bioelectricity_and_DC_Instruments/6.7.04%3A_Kirchhoffs_Rules
Many complex circuits cannot be analyzed with the series-parallel techniques developed previously. There are, however, two circuit analysis rules that can be used to analyze any circuit, simple or com...Many complex circuits cannot be analyzed with the series-parallel techniques developed previously. There are, however, two circuit analysis rules that can be used to analyze any circuit, simple or complex. These rules are special cases of the laws of conservation of charge and conservation of energy. The rules are known as Kirchhoff’s rules, after their inventor Gustav Kirchhoff (1824–1887).
11.3: Resistors in Series and Parallel
https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/11%3A_Chapter_11/11.03%3A_Resistors_in_Series_and_Parallel
Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to...Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit.
6.3: Resistors in Series and Parallel
https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/06%3A_Direct-Current_Circuits/6.03%3A_Resistors_in_Series_and_Parallel
Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to...Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit.
6.3: Resistors in Series and Parallel
https://phys.libretexts.org/Courses/Grand_Rapids_Community_College/PH246_Calculus_Physics_II_(2025)/06%3A_Direct-Current_Circuits/6.03%3A_Resistors_in_Series_and_Parallel
Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to...Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit.
10.3: Resistors in Series and Parallel
https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/10%3A_Direct-Current_Circuits/10.03%3A_Resistors_in_Series_and_Parallel
Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to...Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit.
21.3: Kirchhoff’s Rules
https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/21%3A_Circuits_Bioelectricity_and_DC_Instruments/21.03%3A_Kirchhoffs_Rules
Many complex circuits cannot be analyzed with the series-parallel techniques developed previously. There are, however, two circuit analysis rules that can be used to analyze any circuit, simple or com...Many complex circuits cannot be analyzed with the series-parallel techniques developed previously. There are, however, two circuit analysis rules that can be used to analyze any circuit, simple or complex. These rules are special cases of the laws of conservation of charge and conservation of energy. The rules are known as Kirchhoff’s rules, after their inventor Gustav Kirchhoff (1824–1887).
5.3: Kirchhoff's Rules
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/05%3A_Resistive_Networks/5.03%3A_Kirchhoff's_Rules
Figure $\PageIndex{5}$ : Each of these resistors and voltage sources is traversed from a to b. (a) When moving across a resistor in the same direction as the current flow, subtract the potential drop...Figure $\PageIndex{5}$ : Each of these resistors and voltage sources is traversed from a to b. (a) When moving across a resistor in the same direction as the current flow, subtract the potential drop. (b) When moving across a resistor in the opposite direction as the current flow, add the potential drop. (c) When moving across a voltage source from the negative terminal to the positive terminal, add the potential drop. (d) When moving across a voltage source from the positive terminal to the n…
5.3: Resistors in Series and Parallel
https://phys.libretexts.org/Courses/Bowdoin_College/Phys1140%3A_Introductory_Physics_II%3A_Part_1/05%3A_Direct_Current_Circuits/5.03%3A_Resistors_in_Series_and_Parallel
Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to...Basically, a resistor limits the flow of charge in a circuit and is an ohmic device where V=IR. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit.
12.1: Kirchhoff's Rules
https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/12%3A_Chapter_12/12.01%3A_Kirchhoff's_Rules
Kirchhoff’s rules can be used to analyze any circuit, simple or complex. The simpler series and parallel connection rules are special cases of Kirchhoff’s rules. Kirchhoff’s first rule, also known as ...Kirchhoff’s rules can be used to analyze any circuit, simple or complex. The simpler series and parallel connection rules are special cases of Kirchhoff’s rules. Kirchhoff’s first rule, also known as the junction rule, applies to the charge to a junction. Current is the flow of charge; thus, whatever charge flows into the junction must flow out. Kirchhoff’s second rule, also known as the loop rule, states that the voltage drop around a loop is zero.
6.4: Kirchhoff's Rules
https://phys.libretexts.org/Courses/Grand_Rapids_Community_College/PH246_Calculus_Physics_II_(2025)/06%3A_Direct-Current_Circuits/6.04%3A_Kirchhoff's_Rules
Kirchhoff’s rules can be used to analyze any circuit, simple or complex. The simpler series and parallel connection rules are special cases of Kirchhoff’s rules. Kirchhoff’s first rule, also known as ...Kirchhoff’s rules can be used to analyze any circuit, simple or complex. The simpler series and parallel connection rules are special cases of Kirchhoff’s rules. Kirchhoff’s first rule, also known as the junction rule, applies to the charge to a junction. Current is the flow of charge; thus, whatever charge flows into the junction must flow out. Kirchhoff’s second rule, also known as the loop rule, states that the voltage drop around a loop is zero.
5.2: Resistors in Series and Parallel
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/05%3A_Resistive_Networks/5.02%3A_Resistors_in_Series_and_Parallel
Figure $\PageIndex{5}$ : (a) The original circuit of four resistors. (b) Step 1: The resistors $R_3$ and $R_4$ are in series and the equivalent resistance is $R_{34} = 10 \, \Omega$ (c) Step 2:...Figure $\PageIndex{5}$ : (a) The original circuit of four resistors. (b) Step 1: The resistors $R_3$ and $R_4$ are in series and the equivalent resistance is $R_{34} = 10 \, \Omega$ (c) Step 2: The reduced circuit shows resistors $R_2$ and $R_{34}$ are in parallel, with an equivalent resistance of $R_{234} = 5 \, \Omega$ . (d) Step 3: The reduced circuit shows that $R_1$ and $R_{234}$ are in series with an equivalent resistance of $R_{1234} = 12 \, \Omega$ which is the equival…

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