# lect06_handout - Physics 102 Lecture 06 Kirchhoffs Laws...

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Physics 102: Lecture 6, Slide 1 Kirchhoff’s Laws Physics 102: Lecture 06

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Physics 102: Lecture 6, Slide 2 Last Time Resistors in series: Resistors in parallel: Current thru is same; Voltage drop across is IR i Voltage drop across is same; Current thru is V/R i Last Lecture Solved Circuits What about this one? Today ? ?? = ? 1 +? 2 +? 3 +⋯ 1 ? ?? = 1 ? 1 + 1 ? 2 + 1 ? 3 +⋯
Physics 102: Lecture 6, Slide 3 Kirchhoff’s Rules Kirchhoff’s Junction Rule (KJR): Current going in equals current coming out. Kirchhoff’s Loop Rule (KLR): Sum of voltage drops around a loop is zero.

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Physics 102: Lecture 6, Slide 4 Conceptual basis: conservation of charge At any junction in a circuit, the current that enters the junction equals the current that leaves the junction Example: R 1 R 2 R 3 I 1 I 3 I 2 ε 1 ε 2 Kirchhoff’s Junction Rule (KJR) At junction: I 1 + I 2 = I 3
Physics 102: Lecture 6, Slide 5 Conceptual basis: conservation of energy Going around any complete loop in a circuit, the sum total of all the potential differences is zero Example: R 1 R 2 R 3 I 1 I 3 I 2 ε 1 ε 2 Kirchhoff’s Loop Rule (KLR) Around the right loop: ε 2 + I 3 R 3 + I 2 R 2 = 0

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Physics 102: Lecture 6, Slide 6 Using Kirchhoff’s Rules (1) Label all currents Choose any direction (2) Label +/- for all elements Current goes + – (for resistors) (3) Choose loop and direction
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lect06_handout - Physics 102 Lecture 06 Kirchhoffs Laws...

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