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LESSON 04 / 18 · TOPIC 10.1

Separate charge without creating it

You will be able to: Distinguish polarization, conduction and a dielectric’s response to an electric field.

Official College Board Unit 10Free study resourceReview editionTeacher review pending

How can a charged object attract a neutral material?

A charged comb attracts tiny neutral scraps. The scraps need not gain net charge first: their internal positive and negative charge distributions can shift slightly, so nearby opposite charge feels a stronger attraction.

A useful starting point: Compare electric and gravitational interactions →

Words and symbols before equations

Polarization
Separation or alignment of positive and negative charge within an overall material.
Conductor
Material with charge carriers that can move through it readily.
Insulator
Material whose charge carriers cannot readily move across it, although bound charges can shift.
Permittivity ε
Describes electrical response of a medium; ε=κ ε₀ for a linear dielectric, with dimensionless κ.
Field contributions · right is positiveN/C · same scale for all bars0Vacuum field600Polarization-400Net field200
Read this model snapshot. κ=3: net E=200 N/C rightward; polarization contribution -400 N/C. Free plate charge stays fixed and dielectric net charge remains zero.
What this picture assumes

Fully filled linear dielectric between ideal isolated plates with fixed free charge; vacuum gap field 600 N/C rightward. Signed bars use N/C. Polarization field is the difference between final and vacuum fields; material remains net neutral.

Read the picture in three steps

  1. Locate the labeled sources, system boundary or graph axes. Read the units before comparing values.
  2. κ=3: net E=200 N/C rightward; polarization contribution -400 N/C. Free plate charge stays fixed and dielectric net charge remains zero.
  3. Check what the picture assumes below. Use the Explore task to predict one change before moving a control.

Connect the picture to the physics

A neutral object can contain separated positive and negative regions while its total charge stays zero. In a conductor electrons redistribute over the object. In an insulator bound charges shift relative to each other or molecular dipoles align.

In a nonuniform external field, the closer opposite-charge region can feel a stronger force than the farther like-charge region, producing net attraction. A perfectly uniform field on an ideal neutral dipole can instead produce torque with no net translational force.

A dielectric’s polarization modifies the field inside it. The simple fully filled parallel-plate model gives E=E_vacuum/κ when free plate charge is fixed. This conditional relationship is not a claim that every arrangement or fixed-voltage situation has the same field reduction.

A worked example, step by step

An isolated charged parallel-plate capacitor has E=600 N/C in vacuum. A linear dielectric with κ=3 fills the gap without changing free plate charge. Find E.

  1. Use the fixed-free-charge, fully filled ideal plate model.
  2. Polarization produces an opposing field inside the gap.
  3. E=600/3=200 N/C.
  4. The dielectric remains overall neutral; its bound charge has redistributed.
Common mix-up

Polarization is not the same as gaining net charge. Specify what stays fixed before predicting a dielectric’s effect.

CHECK THE IDEA

Does polarization require an object to become charged overall?

Compare with an explanation

No. Positive and negative regions can separate while net charge stays zero.

Now investigate one change Explore →

Predict. Change one thing. Explain.

Increase κ in a fixed-free-charge plate model. Compare the original field, the opposing polarization contribution, and the resultant. Arrows describe field components, not electron trajectories.

On narrow screens, swipe or scroll diagrams sideways to read all labels.

Field contributions · right is positiveN/C · same scale for all bars0Vacuum field600Polarization-400Net field200

κ=3: net E=200 N/C rightward; polarization contribution -400 N/C. Free plate charge stays fixed and dielectric net charge remains zero.

Fully filled linear dielectric between ideal isolated plates with fixed free charge; vacuum gap field 600 N/C rightward. Signed bars use N/C. Polarization field is the difference between final and vacuum fields; material remains net neutral.

Explain what you noticed: Which quantity changed? Which stayed fixed? Use the relevant charge, field or energy relationship to justify your prediction.

Apply the idea to a fresh problem Practice →

Show what you understand.

Two original questions are a starting check, not proof of mastery. Explain your choice before revealing the answer.

1. In an insulator, polarization can occur because…

Show answer and reasoning

Bound charges shift slightly. Insulating behavior does not forbid microscopic charge displacement.

2. For fixed free plate charge, increasing κ makes the ideal internal field…

Show answer and reasoning

Smaller. In the stated model E=E_vacuum/κ.

Original written challenge

4 points · self-check · not an official AP question

A neutral insulator is placed near a positive charged rod. (a) Describe its polarization. (b) State its net charge if none transfers. (c) Explain possible attraction. (d) Contrast a uniform-field ideal dipole.

This response is not submitted or saved. Copy it before leaving.

Compare with the answer and four-point rubric
  1. 1 point: Negative bound charge shifts toward the rod and positive bound charge relatively away.
  2. 1 point: Net charge stays zero.
  3. 1 point: The nearer opposite charge can experience stronger attraction in the nonuniform field.
  4. 1 point: A uniform field can exert torque but zero net force on an ideal neutral dipole.

Accept equivalent correct methods and explanations. This is a Refresh Kid teaching rubric, not an official AP scoring guideline.

Recall the ideas without notes Review →

Retrieve it before you reveal it.

RECALL 1Polarization changes what?

Charge distribution, not necessarily net charge.

RECALL 2Can an insulator polarize?

Yes; bound charges can shift even without free conduction.

RECALL 3What must accompany E/κ reasoning?

The assumptions, including fixed free charge and fully filled ideal plate geometry.

Revisit these tomorrow and a week later. Try a fresh problem and explain why the method applies.

Separate charge without creating it

  • ε=κ ε₀ for the stated linear dielectric model.
  • Fixed free charge, ideal filled plates: E=E_vacuum/κ.
  • A neutral polarized material can have separated charge regions.

Remember: Polarization is not the same as gaining net charge. Specify what stays fixed before predicting a dielectric’s effect.

Conditions: Fully filled linear dielectric between ideal isolated plates with fixed free charge; vacuum gap field 600 N/C rightward. Signed bars use N/C. Polarization field is the difference between final and vacuum fields; material remains net neutral.

Refresh Kid · AP Physics 2 Unit 2 (official Unit 10) · Objectives 10.1.C · Review edition

Framework, scope and review status

Mapped to College Board CED, Topic 10.1, objectives 10.1.C. CED effective Fall 2024, current PDF ©2026; checked September 16, 2026. Refresh Kid calls this the second AP Physics 2 unit; College Board numbers it Unit 10; the first unit in this course is official Unit 9. The lesson breakdown and questions are original Refresh Kid work, not official topic subdivisions.

Implementation and automated checks are separate from independent teacher review and observation of students. Both human review stages remain pending. This is a review edition, not a certified or validated assessment.

Optional further resource: College Board’s released questions and scoring guides. Papers can combine units; this link is an archive, not an assignment of every question to this lesson.

Our learn, explore, practice and recall sequence is informed by the IES learning guide. The exact Refresh Kid implementation has not been evaluated for learning effectiveness.

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