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D.C. Circuits Unit 20 x x 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” Outline • Electric Animals • Lab • Kirchhoff’s Laws » Current Law » Voltage Law • Series and parallel circuits, revisited Electric Animals Quick Revision Equivalent resistance of: Resistors in series? Resistors in parallel? Eel Circuit Rw Gustav Kirchhoff • German physicist • 1824-1887 • Two sets of “Kirchhoff’s Laws” • Formulated circuit laws as a student • Co-discovered caesium and rubidium Lab 20.1.2 A4 A5 C Q P A6 R A7 E D 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. KCL Example Copy down and solve for currents a through e a 6.5 mA b d 2.1 mA c 7.9 mA 15.3 mA e Lab 20.1.3 V1 F G T S V2 V3 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.) KVL Example Solve for the unknown voltages. A B + 6V - C D + 5V - I + 4V - + 2V E G F H In series: R = R1 + R2 + … In parallel: 1/R = 1/R1 + 1/R2 + … Why?? Resistors Revisited Torture your friends Conclusion • Kirchhoff’s Laws » Current Law » Voltage Law • Prove combined resistance • Make torturous resistance problem • Due FRIDAY with Ex 19.1 and holiday homework