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Capacitor Combinations: Equivalent Capacitance & Circuit Analysis

Learn about finding equivalent capacitance in capacitor combinations in parallel and series circuits. Solve problems for homework and quizzes on potential difference and charge distribution. Office hours and TLC schedules provided.

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Capacitor Combinations: Equivalent Capacitance & Circuit Analysis

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  1. Announcements • Homework for tomorrow… Ch. 29: CQ 10, Probs. 20, 22, & 54 CQ4a) E1 = E2 = -(10 V/m) ihat b) E1 = -(5 V/m) ihat, E2 = -(20 V/m) ihat CQ5: accelerates right 29.6: W = 1.6 x 10-13 J 29.12: Ex(0cm<x<2cm) = +2,500 V/m Ex(2cm<x<3cm) = -10,000 V/m 29.44: E = 40 V/m, θ = 27° ccw from +x-axis • Office hours… MW 10-11am TR 9-10 am F 12-1 pm • Tutorial Learning Center (TLC) hours: MTWR 8-6 pm F 8-11 am, 2-5 pm Su 1-5 pm

  2. Chapter 29 Potential & Field (Combinations of Capacitors)

  3. Review… • Kirchoff’s Loop Rule… • Conductors in Electrostatic Equilibrium… • Capacitance…

  4. Combinations of Capacitors Consider two capacitors in parallel… • Can we find an equivalent capacitor, Ceq, to the two capacitors, C1 & C2? + + Ceq C1 C2 - -

  5. Combinations of Capacitors Consider two capacitors in parallel… • Can we find an equivalent capacitor, Ceq, to the two capacitors, C1 & C2? • YES! + + Ceq C1 C2 - -

  6. Combinations of Capacitors What about for several capacitors in parallel? • Can we find an equivalent capacitor, Ceq, to the capacitors, C1 , C2, … (all in parallel)? + + Ceq C1 C2 C3 - -

  7. Combinations of Capacitors What about for several capacitors in parallel? • Can we find an equivalent capacitor, Ceq, to the capacitors, C1 , C2, … (all in parallel)? + + Ceq C1 C2 C3 - -

  8. Combinations of Capacitors Consider two capacitors in series… • Can we find an equivalent capacitor, Ceq, to the two capacitors, C1 & C2? + + C1 Ceq C2 - -

  9. Combinations of Capacitors Consider two capacitors in series… • Can we find an equivalent capacitor, Ceq, to the two capacitors, C1 & C2? • YES! + + C1 Ceq C2 - -

  10. Combinations of Capacitors What about several capacitors in series? • Can we find an equivalent capacitor, Ceq, to the capacitors, C1 , C2 ,… (all in series)? C1 + + Ceq C2 - - C3

  11. Combinations of Capacitors What about several capacitors in series? • Can we find an equivalent capacitor, Ceq, to the capacitors, C1 , C2 ,… (all in series)? C1 + + Ceq C2 - - C3

  12. Quiz Question 1 The equivalent capacitance is • 9 F. • 6 F. • 3 F. • 2 F. • 1/2 F.

  13. i.e. 29.7:A Capacitor Circuit Find the charge on and the potential difference across each of the three capacitors in the figure below. Given: E = 12 V, C1 = 3 μF, C2= 5 μF, C3= 1 μF C1 + C2 C3 -

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