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Physics · Class 12

Free charge in conductors and insulators

Potential & Capacitance

Free charges redistribute in an electrostatic conductor until the interior field vanishes. A fixed uniform charge density in an insulating sphere instead gives an interior field proportional to radius.

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Free charge in conductors and insulators

கடத்தியில் சுதந்திர மின்னூட்டங்கள் நகர்ந்து உள்ள்புலத்தை பூஜ்யமாக்கும். மின்காப்பானில் மின்னூட்டம் நிலையாக இருக்கலாம்.

Key notes, relationships and model limits

Key relationship

Econductor=0 inside; Euniform-insulator∝r inside; Eoutside∝1/r².

Remember

Free charges redistribute in an electrostatic conductor until the interior field vanishes. A fixed uniform charge density in an insulating sphere instead gives an interior field proportional to radius.

Common trap

A conductor has zero interior electric field in electrostatic equilibrium, while an insulating charged sphere can have a nonzero interior field.

Model limits

Spherical symmetry, electrostatic equilibrium for conductor, uniform immobile volume charge for insulator. Surface density readout describes conductor only.

What you will learn

Use the controls and plotted relation to explain free charge in conductors and insulators.

Try the experiment

Try both scenarios, change one control, and predict the result before checking the graph and readouts.

Think of it this way

Change one input while keeping the others fixed, as you would in a controlled experiment.

Worked example

A sphere with surface E=1000 N/C has conductor interior E=0; a uniform insulator at half-radius has E=500 N/C.

Why this matters

The model connects free charge in conductors and insulators with an observable reading. Check the equation and assumptions before applying it.

Before you start

SI units · algebra · graph reading

Check your understanding

What is E inside an electrostatic conductor?

Read the explanation

Zero after free charges reach equilibrium.

Course connection: Class XII Chapter 2. Consult the roadmap for CBSE, NEET, JEE Main and Advanced scope.