Ampere’s Circuital Law and Different Surfaces

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10 Questions

What term is missing in Ampere’s circuital law?

Displacement current

What is the source of a magnetic field according to Maxwell's generalization?

Both conduction electric current and displacement current

What is the electric flux through the surface S?

E0A/ε

What does the term 'displacement current' refer to?

Current due to changing electric field

What does Eq. (8.3) represent?

Electric flux through the surface S

Why does the author suggest that Ampere's circuital law must be missing something?

Because it does not account for the presence of an electric field between the plates of a capacitor.

What is the issue encountered when applying Ampere's circuital law to the pot-like and tiffin box-shaped surfaces?

The left hand side of the equation has not changed but the right hand side is zero, leading to a contradiction.

Why does the author mention the electric field between the plates of a capacitor?

To highlight its relationship with the magnetic field at point P.

What conclusion can be drawn from the contradictory results obtained when applying Ampere's circuital law?

The original Ampere's circuital law needs to be revised to include additional terms.

What is the significance of the contradictory results obtained for different surface shapes?

It signifies a need for considering electric fields when applying Ampere's circuital law.

Learn about the application of Ampere’s circuital law to different surfaces with the same perimeter but varying shapes such as pot-like and tiffin box-like surfaces. Understand how the left-hand and right-hand sides of Eq. (8.1) are affected by these surfaces.

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