# Lec12-1 - Lecture 12-1 Resistors in Parallel 1 1 1 1 =+ +...

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Lecture 12-1 Resistors in Parallel 123 1 111 eq R RR R =++ 11 i eq i = R 1 R 2 i i ε 12 () eq R ∴= + ... eq R R =+++

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Lecture 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.
Lecture 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 12 1 18 12( ) 6 0 II I +− = 2 21 3 21 2 6 0 I + = 32 3 ∴+ = 6 5 21 ∴− = 3 () , 1 I AI A ∴= = I 3 = I 1 + I 2

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Lecture 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
Lecture 12-5 Finding Potential and Power in a Circuit Just means 0 V here ( ) 0 12 1 a V IV = + −⋅ But what is I? Must solve for I first!

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## This note was uploaded on 04/23/2011 for the course PHYS 241 taught by Professor Wei during the Spring '08 term at Purdue University-West Lafayette.

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Lec12-1 - Lecture 12-1 Resistors in Parallel 1 1 1 1 =+ +...

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