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# lecture16 - DC Circuits Text sections 28.2 28.3 Series and...

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DC Circuits DC Circuits Text sections 28.2, 28.3 •Series and parallel rules for resistors •Kirchhoff’s circuit rules (maybe) Practice: Chapter 28, problems 3, 9, 11, 15, 21, 25, 28 “DC” Circuits “DC” Circuits Direct Current ”: current always flows in one direction. (or, often: current is constant in time )

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Resistors in Series Resistors in Series R 1 R 2 R 3 ... 3 2 1 + + + = R R R R eff Same current through all resistors Voltages add: V = V 1 + V 2 + V 3 + … Î IR eff = IR 1 + IR 2 + IR 3 + So, Resistors in Parallel Resistors in Parallel R 1 R 2 R 3 I I 1 I 2 I 3 I ... 1 1 1 1 3 2 1 + + + = R R R R eff same voltage across each resistor currents add: I = I 1 + I 2 + I 3 + … ... 3 2 1 eff + + + = R V R V R V R V so,
Example Example : : “Voltage Divider” Circuit “Voltage Divider” Circuit ε R 1 R 2 V 1 V 2 V V R R R V × + = 2 1 1 1 V R R R V × + = 2 1 2 2 and Show that Kirchhoff’s Kirchhoff’s Circuit Rules Circuit Rules Junction Rule : total current in = total current out at each junction (from conservation of charge). Loop Rule : Sum of emfs and potential differences

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