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chapter28class - Chapter 28 Direct Current Circuits 1 2 3 4...

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Chapter 28 Direct Current Circuits 1. R connections in series and in parallel 2. Define DC (direct current), AC (alternating current) 3. Model of a battery 4. Circuits with 2+ batteries – Kirchhoff’s Rules 5. RC circuit

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:" l l • " Confucius says, reviewing helps one learn new knowledge. Concepts: Charge: positive, negative, conserve, induction. potential Electric: field flux Electrostatic equilibrium: no moving charge. Current: moving charge Capacitance: charge over potential Resistance: potential over current Resistance and Resistivity (conductivity) and temperature: test q F E E F q = Φ = surface E d E A B A V d - = ° E s V x x x V ) ( k j i E + + -∇ = V Q C dt dQ I = V R I [1 ( )] o o ρ ρ α T T = + - = + - [1 ( )] o o R Rα T T
Laws: Coulomb's: force and charge. Gauss’s: electric flux and charge. Ohm’s: electric potential and current. 12 12 12 r r F E E 2 2 1 0 2 2 1 4 1 r q q r q q k e πε = = 0 A E ε Φ q d E = = V R I Circuits and components: Symbols: wire, battery, C, Switch… Power: current times potential difference: Capacitor: in parallel in series Resistor: discuss today = p I V ... C C C C eq + + + = 3 2 1 ... C C C C eq + + + = 3 2 1 1 1 1 1

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Resistor connections In series. Condition: In parallel. Condition: = = = ∆ + ∆ 1 2 1 2 I I I V V V + ∆ Ξ = = +♠ + 1 2 1 2 1 2 1 2 eq V V V V V R R R I I I I = + = ∆ = ∆ 1 2 1 2 I I I V V V + ÷ = = +♠ + 1 2 1 2 1 2 1 2 1 1 1 eq I I I I I R V V V V R R 1 V 2 V 1 V 2 V
Resistor connections In series, : voltage sharing power sharing = 1 1 2 2 V R V R = 1 1 2 2 P R P R In parallel, : current sharing power sharing = = Q 1 2 I I I 1 V 2 V = ∆ = ∆ Q 1 2 V V V = = 1 2 1 1 2 2 2 1 , or I R I R I R I R = = 1 2 1 1 2 2 2 1 , or P R PR P R P R 1 V 2 V

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Resistors connections, summary In series In parallel ... = + + + 1 2 3 eq R R R R ... = + + + 1 2 3 1 1 1 1 eq R R R R = 1 2 3 1 2 3 : : :... : : :... V V V R R R ... = = = 1 1 2 2 3 3 I R I R I R ... = = = 1 1 2 2 3 3 PR P R P R ... = = = = 1 2 3 I I I I ... = ∆ = ∆
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