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Announcements and Homework for Chapters 26 and 27: Gauss' Law and Conductors in Electrostatics

This announcement outlines the homework assignments for Chapters 26 and 27, including problem sets on electric fields and electrostatic equilibrium. Office hours for additional assistance are available on Mondays, Wednesdays, Thursdays, and Fridays. The tutorial learning center hours are also provided for student support. Important quiz questions are indicated, focusing on electron beam deflection and E-field characteristics in conductors. Students are advised to review key concepts related to Gauss' Law and charges in electrostatic equilibrium.

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Announcements and Homework for Chapters 26 and 27: Gauss' Law and Conductors in Electrostatics

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  1. Announcements • Homework for tomorrow… (Ch. 26 Probs. 50, Ch. 27 Probs. 26 & 27) CQ8: 2nC/cm2 26.13: a) –(7.6 x 104 N/C) ihat b) (7.6 x 10-5 N) ihat 26.15: 2.7 x 108 C • Office hours… MW 12:30-1:30 pm TR 9-10 am F 10-11 am • Tutorial Learning Center (TLC) hours: M 8-1 pm, 3-6 pm, W 8-1 pm, 2-6 pm TR 8-6 pm, F 8-2 pm

  2. Chapter 27 Gauss’ Law (Conductors in Electrostatic Equilibrium)

  3. Last time… • E-field of a parallel-plate capacitor.. ------------------------------------------------------- +++++++++++++++++++++++++++++++

  4. Quiz Question 1 Which E-field is responsible for the proton’s trajectory? • (a) • (b) • (c) • (d) • (e)

  5. i.e. 26.9: Deflecting an e- beam An e- gun creates a beam of e-’s moving horizontally with a speed of 3.3 x 107 m/s. The e-’s enter a 2.0 cm long gap between two parallel electrodes where the electric field is E = -(5.0 x 104 N/C) jhat. In which direction, and by what angle, is the electron beam deflected by these electrodes?

  6. 27.6: Conductors in Electrostatic Equilibrium Consider a charged conductor in electrostatic equilibrium… • all charges are stationary. • E-field is ZERO at all points w/in the conductor. • Any excess q resides on the exterior surface.

  7. Conductors in Electrostatic Equilibrium Consider a charged conductor in electrostatic equilibrium… • E-field at the surface of a charged conductor.. • is perpendicular to the surface. • is of magnitudeη/ε0, where ηis the surface charge density at that pt.

  8. Conductors in Electrostatic Equilibrium Consider a charged conductor in electrostatic equilibrium… • E-field is ZERO inside any hole w/in a conductor, unless there is a q in the hole.

  9. Conductors in Electrostatic Equilibrium Q: How can we exclude an E-field from some region?

  10. Conductors in Electrostatic Equilibrium Q: How can we exclude an E-field from some region? A: Insert a neutral conducting box (a.k.a. Faraday cage)

  11. i.e. 27.7: The E-field at the surface of a charged metal sphere. A 2.0 cm diameter brass sphere has been given a charge of 2.0 nC. What is the E-field strength at the surface?

  12. Quiz Question 2 A point charge q is located a distance r from the center of a neutral metal sphere. The E-field at the center of the sphere is • 0 • It depends on what the metal is.

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