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Understanding Finite Charges: Polarizability Examples in Physics

Explore what happens when charge q is finite through examples q2 > q1 > 0. Learn about inducing charge p1 at point P and finding polarizability α. Dive into techniques like neutralizing metal ball and tape, charging by induction, and mathematical tools like Trig Functions, Derivatives, Integration, and Change of Variable.

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Understanding Finite Charges: Polarizability Examples in Physics

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Presentation Transcript

  1. Lecture 7 Define: What happens when q is finite? Look at two examples: q2 > q1 > 0 Test charge q1 at P: induces p1

  2. Example Polarizability Find q, α Assume origin at the pipe:

  3. “Neutralize” the metal ball “Neutralize” the tape

  4. Charging by induction:

  5. Review Math 1. Trig Functions: 2. Derivatives: 3. Integration:

  6. Review Math continued... , Put together: Uniform Charge -- or

  7. Preview Analytic Result Change of Variable in Integration: Math ID: (pg 633)

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