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Chapter 25 Capacitance In this chapter we will cover the following topics:

Chapter 25 Capacitance In this chapter we will cover the following topics:

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Chapter 25 Capacitance In this chapter we will cover the following topics:

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  1. Chapter 25 Capacitance In this chapter we will cover the following topics: -Capacitance C of a system of two isolated conductors. -Calculation of the capacitance for some simple geometries. -Methods of connecting capacitors (in series, in parallel). -Equivalent capacitance. -Energy stored in a capacitor. -Behavior of an insulator (a.k.a. dielectric) when placed in the electric field created in the space between the plates of a capacitor. -Gauss’ law in the presence of dielectrics. (25-1)

  2. q = CV q V- V+ V O ) (25-2)

  3. Checkpoint 1: • Does the capacitance C of a capacitor increase, decrease, or remain the same • When the charge q on it is doubled and • When the potential difference V across it is tripled? The capacitance of the capacitor depends only on the geometry of the plates and not on their charge or potential difference.

  4. V -_ + (25-3)

  5. -q +q -q +q (25-4)

  6. V- V+ (25-5)

  7. P S N (25-6)

  8. S (25-7)

  9. S (25-8)

  10. Checkpoint 2: • For capacitors charged by the same battery, does the charge stored by the capacitor increase, decrease, or remain the same in each of the following situations? • The plate separation of a parallel-plate capacitor is increased. • The radius of the inner cylinder of a cylindrical capacitor is increased • The radius of the outer spherical shell of a spherical capacitor is increased

  11. (25-9)

  12. (25-10)

  13. (25-11)

  14. (25-12)

  15. Checkpoint 3: • A battery of potential V stores charge q on a combination of two identical capacitors. What are the potential difference across and the charge on either capacitor if the capacitors are • In parallel • In series ?

  16. -q' q' - + dq' - + - + - + - + V' Charge A q q' Voltage B O V V' (25-13)

  17. -q q - + - + - + A A - + - + d (25-14)

  18. q V -q q' V -q' V q -q V' q -q (25-15)

  19. q V -q q' V -q' V q -q V' q -q (25-16)

  20. conductor dielectric q (25-17)

  21. Example 1:

  22. Example 2:

  23. Example 3:

  24. Example 4:

  25. Example 5:

  26. Example 6:

  27. Example 7:

  28. Example 8:

  29. Example 9:

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