★ 4) Consider two long (but not infinite) solid cylinders with total charge & deposited in two different a + a) Cylinder 1 has Q unis Curved surface of the cylinder. (less energetic)? b) Cylinder 2 has Q uniformly deposited throughout the volume. (more energetc)? Explain in words whether a) energetic. Support your answer board and sketches of the È field C) Calculate the edge effects. ways deposited on the uniformly deposited Can energy b) Gauss' Law E is more орон Neglect edge effects a), again neglecting you explain why the answer is non-sensical?

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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Educational Transcription**

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**Problem 4:**

Consider two long (but not infinite) solid cylinders with total charge \( Q \) deposited in two different ways:

**a) Cylinder 1:**
   - \( Q \) is uniformly deposited on the curved surface of the cylinder. (Less energetic?)

[Illustration of a cylinder with charge \( Q \) on the surface.]

**b) Cylinder 2:**
   - \( Q \) is uniformly deposited throughout the volume. (More energetic?)

[Illustration of a cylinder with charge \( Q \) distributed throughout the volume.]

**Task:**

- Explain in words whether option a) or b) is more energetic.
- Support your answer based upon Gauss' Law, \(\vec{E}\), and sketches of the \(\vec{E}\) field.
- Neglect edge effects.

**c)** Calculate the energy of option a), again neglecting edge effects.

Can you explain why the answer is non-sensical?

---
Transcribed Image Text:**Educational Transcription** --- **Problem 4:** Consider two long (but not infinite) solid cylinders with total charge \( Q \) deposited in two different ways: **a) Cylinder 1:** - \( Q \) is uniformly deposited on the curved surface of the cylinder. (Less energetic?) [Illustration of a cylinder with charge \( Q \) on the surface.] **b) Cylinder 2:** - \( Q \) is uniformly deposited throughout the volume. (More energetic?) [Illustration of a cylinder with charge \( Q \) distributed throughout the volume.] **Task:** - Explain in words whether option a) or b) is more energetic. - Support your answer based upon Gauss' Law, \(\vec{E}\), and sketches of the \(\vec{E}\) field. - Neglect edge effects. **c)** Calculate the energy of option a), again neglecting edge effects. Can you explain why the answer is non-sensical? ---
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