Lec12-1

# Lec12-1 - ture 12-1 ture Resistors in Parallel and Series 1...

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cture 12- cture 12- 1 Resistors in Parallel and Series 1 1 i eq i R R = R 1 R 2 i i ε 1 2 ( ) eq R R R ∴ = + 1 2 3 ... eq R R R R = + + +

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cture 12- cture 12- 2 Reading quiz 1 Consider the charging of a capacitor C by battery with emf E through an external resistor R. The final charge of the capacitor is Q F . Which of the following statements is INCORRECT? A| The energy delivered by the battery is E Q F . B| The energy stored in the capacitor 1/2 Q F 2 /C. C| The energy dissipated in the resistor is EQ F /2. D| The fraction of the energy delivered by the battery depends the value of the resistor R.
cture 12- cture 12- 3 The same example (with parallel R combos) Replace by equivalent R=2Ω first. Sketch the diagram Simplify using equivalent resistors Label currents with directions Use Junction Rule in labeling Choose independent loops Use Loop Rule Solve simultaneous linear equations I 3 I 2 I 1 1 2 1 18 12( ) 6 0 I I I - + - = 2 2 1 3 21 2 6 0 I I I - + - + = 1 2 3 2 3 I I + = 1 2 6 5 21 I I - = - 2 1 3( ), 1( ) I A I A = = - I 3 = I 1 + I 2

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cture 12- cture 12- 4 Loop current example (with parallel R combos) Replace by equivalent R=2Ω first. Sketch the diagram Simplify using equivalent resistors Label loop currents with directions Use Loop currents I 1 and I 2 Choose interior clockwise loops . Set up cononical equations in . I 1 I 2 Ε format I 1 I 2 I 1 -I 2 I 1 (12 +6) + I 2 (-6) = +18 ( Emf ) Left loop I 1 (-6) + I 2 (6+3+2) =+21 ( Emf ) Right loop Note Symmetry of Equations
cture 12- cture 12- 5 Finding Potential and Power in a Circuit

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Lec12-1 - ture 12-1 ture Resistors in Parallel and Series 1...

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