Electric Flux Lesson Plan

🔖 Topics

• Electric flux
• Open versus closed surfaces
• Charge inside and outside of a surface

🎯 Objectives

• Determine the relative position of charges in and around surfaces
• Calculate the electric flux passing through a variety of surfaces (open and closed)

📋 Sequence

• 🟢 Open and closed surfaces
• 🟢 Electric flux
• 🟢 Area vector conventions
• 🟣 Uniform electric field passing through a flat surface
• 🟣 Non-uniform electric field passing through a flat surface

🖥️ Animations, Simulations, Activities

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📝 Practice Problems

1. A uniform electric field in a certain region of space is given by $E=-100\hat{z}N/C$. What is the magnitude of the electric flux passing through a rectangle with corners at (1.0 m, 3.0 m, 0.0 m), (1.0 m, 5.0 m, 0.0 m), (4.0 m, 3.0 m, 0.0 m), and (4.0 m, 5.0 m, 0.0 m)?
2. A uniform electric field in a certain region of space is given by $E=50\hat{x}+30\hat{y}-20\hat{z}N/C$. What is the magnitude of the electric flux passing through a rectangle with corners at (1.0 m, 3.0 m, 0.0 m), (1.0 m, 5.0 m, 0.0 m), (4.0 m, 3.0 m, 0.0 m), and (4.0 m, 5.0 m, 0.0 m)?
3. A non-uniform electric field in a certain region of space is given by $E(y)=(2y-5)\hat{z}N/C$. What is the magnitude of the electric flux passing through a rectangle with corners at (1.0 m, 3.0 m, 0.0 m), (1.0 m, 5.0 m, 0.0 m), (4.0 m, 3.0 m, 0.0 m), and (4.0 m, 5.0 m, 0.0 m)?

✅ Partial Solutions

1. $600N{m}^2/C$
2. $120N{m}^2/C$
3. $18N{m}^2/C$

📘 Connected Resources

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