Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Kirchhoff’s Laws 1. The algebraic sum of the voltage sources and voltage drops in a closed circuit must equal zero. 2. The algebraic sum of the current entering and leaving a point must equal zero. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Kirchhoff’s Current Law “The algebraic sum of the current entering and leaving a point must equal zero.” This law is for parallel circuits and states that the total current is the sum of all of the branch currents. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Kirchhoff’s Current Law The algebraic sum of the currents entering and leaving a point must equal zero Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Kirchhoff’s Voltage Law “The algebraic sum of the voltage sources and voltage drops in a closed circuit must equal zero.” This law states that the sum of the voltage drops in a series circuit must equal the applied voltage. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Kirchhoff’s Voltage Law “The algebraic sum of the voltage sources and voltage drops in a closed circuit must equal zero.” This law states that the sum of the voltage drops in a series circuit must equal the applied voltage. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Kirchhoff’s Voltage Law The algebraic sum of the voltages around any closed loop must equal zero. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Thevenin’s Theorem Thevenin’s theorem simplifies a circuit into an equivalent circuit which contains a single voltage source and series resister. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Thevenin’s Theorem The equivalent Thevenin Circuit consists of a single power source and single series resistor. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Norton’s Theorem Norton’s Theorem is used to reduce a circuit network into a simple current source and a single parallel resistance. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Norton’s Theorem Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Superposition Theorem Any branch of a circuit supplied by a multipower source can be determined by finding the current produced in that particular branch by each of the individual power sources acting alone. All other power sources must be replaced by a resistance equivalent to their internal resistances. The total current flow through the branch is the algebraic sum of the individual currents produced by each of the power sources. Unit 9 Kirchhoff's Law, Thevenin’s, Norton’s, and Superposition Theorems Superposition Theorem