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Study Guide: Electric Field and Charge Distribution (Chapter 26)

This announcement provides essential homework tasks for Chapter 26 on Electric Fields, with focus on continuous charge distributions, electric field vectors, and lines. Students are required to complete conceptual questions 3 and 4, and problems 9 and 10. Additional resources include office hours and Tutorial Learning Center (TLC) timings for further assistance. Key concepts include dipole moments, field lines, and charge interactions. Be sure to review the electric field diagrams and rules for better understanding.

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Study Guide: Electric Field and Charge Distribution (Chapter 26)

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  1. Announcements • Homework for tomorrow… (Ch. 26 CQs 3 & 4, Probs. 9 & 10) CQ15: 3F/2 25.60: E1=(1.0 x 105 N/C) jhat, E2=(2.9 x 104 N/C) ihat+(2.2 x 104 N/C) jhat, E3=(5.6 x 104 N/C) ihat 25.67: 14° • 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 26 The Electric Field (The E-Field of a Continuous Charge Distribution)

  3. Last time… • Dipole Moment • E-field of a dipole on the dipoleaxis • E-field of a dipole in the bisecting plane Notice: r is distance measured from the center of dipole. +q s -q

  4. Picturing the E-Field… Two ways: • Electric Field Vectors • Electric Field Lines

  5. Electric Field Line Rules: • Lines start on + charges and end on – charges. • As lines get closer, fields get stronger. • Arrows point in direction of force on a positive test charge. • Force is tangent to field lines. • Field lines CAN’T cross.

  6. Quiz Question 1 The diagram shows the electric field lines due to two charged metal plates. We can conclude that: • The upper plate is positive and the lower plate is negative. • A + charge at X would experience the same force if it were placed at Y. • A + charge X experiences a greater force than if it were placed at Z. • A + charge at X experiences less force than if it were placed at Z. • A - charge at X could have it’s weight balanced by the electrical force. Y Z X

  7. Charge Densities Point Charge Line Charge Surface Charge + + + + + + + + + + + + + + + + + + + L + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Area A

  8. i.e. 26.3E-field of a line of charge.. Figure 26.11 shows a thin, uniformly charged rod of length L with total charge Q. Find the electric field strength at radial distance r in the plane that bisects the rod. + + + + + + + + + + + + + + + + + + + r L P

  9. i.e. 26.3E-field of a line of charge.. Figure 26.11 shows a thin, uniformly charged rod of length L with total charge Q. Find the electric field strength at radial distance r in the plane that bisects the rod. • Q: What if the rod becomes infinitely long? + + + + + + + + + + + + + + + + + + + r L P

  10. E-field of a line of an infinite line charge..

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