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D.C. Circuits Unit 20 x

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Take Note Ex 19.1 and holiday homework due Friday; performance Task due yesterday Don’t touch / dismantle / destroy / eat circuits on table yet Correction: Activity Worksheet, page 1 para 2: “140 rows of 5000 electroplaques”

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Outline Electric Animals Lab Kirchhoff’s Laws »Current Law »Voltage Law Series and parallel circuits, revisited

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Electric Animals

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Quick Revision Equivalent resistance of: Resistors in series? Resistors in parallel?

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Eel Circuit RwRw

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Gustav Kirchhoff German physicist 1824-1887 Two sets of “Kirchhoff’s Laws” Formulated circuit laws as a student Co-discovered caesium and rubidium

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Lab 20.1.2 A5A5 A4A4 A7A7 A6A6 C D P Q R E

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Kirchhoff’s Current Law (or First Law, or Junction Theorem) The current flowing into any junction in an electrical circuit is equal to the current flowing out of it.

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KCL Example Copy down and solve for currents a through e d b 6.5 mA 2.1 mA c 7.9 mA 15.3 mA a e

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Lab 20.1.3 V1V1 V2V2 V3V3 FG S T

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Kirchhoff’s Voltage Law (or Second Law, or Loop Theorem) In any closed loop of a circuit, the sum of the voltage drops must equal the sum of e.m.f.s in the loop. (or: the sum of potential differences must be zero.)

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KVL Example Solve for the unknown voltages. A B GHI E CD F 6V + 2V - 5V 4V +-+- +-+- +-+-

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Why?? In series: R = R1 + R2 + … In parallel: 1/R = 1/R1 + 1/R2 + …

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Resistors Revisited Torture your friends

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Conclusion Kirchhoff’s Laws »Current Law »Voltage Law Prove combined resistance Make torturous resistance problem Due FRIDAY with Ex 19.1 and holiday homework

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