Chapter Review

Synthesize concepts of electric force, field, flux, and Gauss's Law through mixed practice.

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checklist

I can...

Checklist of chapter competencies.

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After This Chapter, I Can...
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flashcard

Formula Recall Deck

Flashcards for key formulas.

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quiz

Comprehensive Mastery Test

Progressive difficulty MCQ set across the chapter.

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Which of the following correctly defines the quantization of electric charge?

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Worksheet

Field Line Explanations

Explain properties of field lines.

  1. An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
  2. Explain why two field lines never cross each other at any point.

Focus on the continuous nature of the electrostatic force in empty space.

Focus on the definition of the net electric field vector at a specific point.

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Worksheet

Flux through a Cube

Calculate net flux given an E field vector.

Consider a uniform electric field E=3×103i^\mathbf{E} = 3 \times 10^3 \,\mathbf{\hat{i}} N/C. Calculate the net flux of this field through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes.

List the known values with units.

Identify the concept governing net flux for a closed surface without internal charge.

Set up the evaluation of the flux on the relevant faces.

Show the sum of the fluxes.

Include units.

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Worksheet

Unknown Charge on a Sphere

Use Gauss's law to find charge from field.

A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the center of the sphere is 1.5×1031.5 \times 10^3 N/C and points radially inward, what is the net charge on the sphere?

(Use k=14πϵ0=9×109 N m2/C2k = \frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \text{ N m}^2/\text{C}^2)

State your final numerical answer here.

Show how you applied Gauss's Law or the point-charge formula to get the result.

Optional: comment on the physical behavior of conducting spheres.