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Light bulb When switch is closed, bulbs are … Brighter The same Dimmer than the bulb above (?)

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When switch is closed, the right bulb will be … Brighter The same Dimmer than the left bulb now (?)

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EXAMPLE: What’s the voltage across, and the current thru each resistor? 12V 100 200 (compare with equivalent R method …)

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EXAMPLE: What’s the voltage across, and the current thru each resistor?

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Electric circuits: Kirchhoff’s Rules start

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Electric circuits: Kirchhoff’s Rules start

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Electric circuits: Kirchhoff’s Rules start

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Electric circuits: Kirchhoff’s Rules start

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Electric circuits: Kirchhoff’s Rules start

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The height analogy

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(weeeee!)

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The height analogy

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Electric circuits: Kirchhoff’s Rules Rule 1: The sum of voltage drops around a loop is always zero! (Energy conserved)

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The voltage divider 1/2 (solve for I ) No numbers yet!

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The voltage divider 2/2 (solve for V 1 & V 2 ) No numbers yet!

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The voltage divider: Numbers!

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Electric circuits: Kirchhoff’s Rules Rule 2: The sum of currents entering a junction must equal the sum of currents leaving it! (comes in = goes out)

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Parallel Circuit No numbers yet!

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Parallel Circuit Numbers

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A not-to-bad example: 19.27 + + NY Kirchhoff’s laws step-by-step …

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A not-to-bad example: 19.27 + + Currents! 1)Guess directions

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A not-to-bad example: 19.27 + + Currents! 1)Guess directions 2)Use nodes to reduce set

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A not-to-bad example: 19.27 Voltage Loops! Loop 1 + + ab cd + - -

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A not-to-bad example: 19.27 Voltage Loops! + + ab c d + - - - Loop 2

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Solve the equations for the currents! No problem here

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A not-to-bad example: 19.27 The Check! + + + + - - - -

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A bad example: + +

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I ) Assign currents! + +

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+ +

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+ +

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II ) Look at currents in & out of nodes + +

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+ +

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III ) Assign voltage differences (drops) + - + + + - - - + -

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IV ) Loops! Voltage differences must add to zero + - + + + - - - + - a bc d

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+ - + + + - - - + - a bc d

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V ) Now, solve those currents More space

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Now …

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+ - + + + - - + -

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+ - + + + - - + -

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Lecture 24 Chapter 18 Kirchhoff’s Rules RC Circuits Monday

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