Electric Flux and Area Elements

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Questions and Answers

What happens to the electric flux through an area element when it is tilted by 90 degrees to the electric field?

  • The electric flux remains constant.
  • The electric flux becomes zero. (correct)
  • The electric flux is maximized.
  • The electric flux is minimized.

How is the electric flux ($ heta$) defined mathematically?

  • $ au = E imes rac{ ho}{A}$
  • $ au = rac{ ho}{eta}$
  • $eta = E heta imes rac{ ho}{A}$
  • $ ewline ext{ } ewline ext{ } ewline ext{ } ewline ext{ } ewline \Phi = ext{ } E ig| ext{A} ig| ext{ } ewline ext{ } ewline ext{ } ewline ext{ } ewline ext{ } ewline \cdot \ ig| ext{n} ig| ext{ } ewline ext{ } ewline ext{ } ewline ext{ } ewline ext{ } ewline ext{ } ewline e$ and.$ $ heta$ (correct)

What is the role of the angle $ heta$ in the electric flux equation?

  • It affects the distance between field lines.
  • It determines the orientation of the area element. (correct)
  • It is irrelevant to the calculation of electric flux.
  • It indicates the strength of the electric field.

Which statement about the area element vector $ ext{ΔS}$ is true for a closed surface?

<p>It points outward from the surface. (A)</p> Signup and view all the answers

Why is it necessary to treat an area element as a vector?

<p>To accurately represent the direction and magnitude. (B)</p> Signup and view all the answers

What factor affects the number of electric field lines crossing an area element?

<p>The angle between the electric field and the area vector. (B)</p> Signup and view all the answers

In a stream, if a ring is held normal to the flow, what happens to the amount of water flowing through it?

<p>It maximizes. (B)</p> Signup and view all the answers

What denotes the normal direction of a planar area element?

<p>The outward direction of the surface. (D)</p> Signup and view all the answers

Flashcards

Electric Flux

The number of electric field lines passing through a given area.

Area Element Vector

The orientation of an area element is described by a vector perpendicular to its surface.

Angle between Electric Field and Area Element

The angle between the electric field vector and the area element vector.

Projected Area

The projection of the area element perpendicular to the electric field.

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Gauss's Law

The electric flux through a closed surface is proportional to the net charge enclosed within the surface.

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Gauss's Law for no enclosed charge

The electric flux through any closed surface is zero if there is no charge enclosed within the surface.

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Closed Surface

A surface that is closed and encloses a volume.

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Outward Normal Vector

The direction of the area element vector for a closed surface is always outward.

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