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lecture08

# lecture08 - Resistors in series and in parallel(review I R1...

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Resistors in series and in parallel (review) R 1 R 2 V 1 V 2 V I 2 1 I I I = = 2 1 V V V + = 2 1 R R R eq + = R 1 I 1 R 2 I 2 I I = + = 10 30 1 15 1 1 eq eq R R 2 1 I I I + = 2 1 V V V = = R 1 R 2 ? 30 15 2 12 2 1 - = = = = I R R r V ε r E r E A V r R R I 26 . 0 47 12 1 1 = = + + = ε 2 1 1 1 1 R R R eq + = R 1 R 2 A V r R I eq 0 . 1 12 12 = = + = ε + = 30 15 eq R Example

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10. Kirchhoff’s rules 1) Kirchhoffe’s first rule (Conservation of charges and junction or current rule) I 1 I 2 I 3 = out in I I 0 0 0 < = out in I I I Example I 1 =I 2 +I 3 0 = - out in I I ? 2 5 3 2 1 - = = I A I A I A I I A A 3 2 5 3 3 = + =
2) Kirchhoffe’s second rule (Loop or voltage rule) R 1 R 2 E 1 E 2 E 3 E 4 <0 m m n R I = ε R 3 I V 3) Using Kirchhoffe’s rules = out in I I m m n R I = ε For N junctions write N-1 equations Write equations only for independent loops

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Example 1: Determine the currents through the elements of this circuit.   R 1 ε 2   R 2   R 3 I 1 I 2 I 3 ε 1 We have 3 different currents We need 3 equations
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lecture08 - Resistors in series and in parallel(review I R1...

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